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<div class="section" id="pyspark-mllib-package">
<h1>pyspark.mllib package<a class="headerlink" href="#pyspark-mllib-package" title="Permalink to this headline"></a></h1>
<div class="section" id="module-pyspark.mllib.classification">
<span id="pyspark-mllib-classification-module"></span><h2>pyspark.mllib.classification module<a class="headerlink" href="#module-pyspark.mllib.classification" title="Permalink to this headline"></a></h2>
<dl class="class">
<dt id="pyspark.mllib.classification.LogisticRegressionModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.classification.</tt><tt class="descname">LogisticRegressionModel</tt><big>(</big><em>weights</em>, <em>intercept</em>, <em>numFeatures</em>, <em>numClasses</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#LogisticRegressionModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.LogisticRegressionModel" title="Permalink to this definition"></a></dt>
<dd><p>Classification model trained using Multinomial/Binary Logistic
Regression.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>weights</strong> &#8211; Weights computed for every feature.</li>
<li><strong>intercept</strong> &#8211; Intercept computed for this model. (Only used
in Binary Logistic Regression. In Multinomial Logistic
Regression, the intercepts will not be a single value,
so the intercepts will be part of the weights.)</li>
<li><strong>numFeatures</strong> &#8211; the dimension of the features.</li>
<li><strong>numClasses</strong> &#8211; the number of possible outcomes for k classes
classification problem in Multinomial Logistic Regression.
By default, it is binary logistic regression so numClasses
will be set to 2.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">]),</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span> <span class="o">=</span> <span class="n">LogisticRegressionWithSGD</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">])</span>
<span class="go">1</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">])</span>
<span class="go">0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">],</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">]]))</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[1, 0]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span><span class="o">.</span><span class="n">clearThreshold</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">])</span>
<span class="go">0.279...</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">sparse_data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">0.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">2.0</span><span class="p">}))</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span> <span class="o">=</span> <span class="n">LogisticRegressionWithSGD</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">sparse_data</span><span class="p">),</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">]))</span>
<span class="go">1</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">]))</span>
<span class="go">0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span>
<span class="go">1</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span>
<span class="go">0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">os</span><span class="o">,</span> <span class="nn">tempfile</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">path</span> <span class="o">=</span> <span class="n">tempfile</span><span class="o">.</span><span class="n">mkdtemp</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span> <span class="o">=</span> <span class="n">LogisticRegressionModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">]))</span>
<span class="go">1</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span>
<span class="go">0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">shutil</span> <span class="kn">import</span> <span class="n">rmtree</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">try</span><span class="p">:</span>
<span class="gp">... </span> <span class="n">rmtree</span><span class="p">(</span><span class="n">path</span><span class="p">)</span>
<span class="gp">... </span><span class="k">except</span><span class="p">:</span>
<span class="gp">... </span> <span class="k">pass</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">multi_class_data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">2.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">])</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">multi_class_data</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mcm</span> <span class="o">=</span> <span class="n">LogisticRegressionWithLBFGS</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span> <span class="n">numClasses</span><span class="o">=</span><span class="mi">3</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mcm</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">])</span>
<span class="go">0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mcm</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">0.8</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">])</span>
<span class="go">1</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mcm</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.3</span><span class="p">])</span>
<span class="go">2</span>
</pre></div>
</div>
<dl class="method">
<dt id="pyspark.mllib.classification.LogisticRegressionModel.clearThreshold">
<tt class="descname">clearThreshold</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.classification.LogisticRegressionModel.clearThreshold" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Clears the threshold so that <cite>predict</cite> will output raw
prediction scores. It is used for binary classification only.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.classification.LogisticRegressionModel.intercept">
<tt class="descname">intercept</tt><a class="headerlink" href="#pyspark.mllib.classification.LogisticRegressionModel.intercept" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.classification.LogisticRegressionModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#LogisticRegressionModel.load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.LogisticRegressionModel.load" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.classification.LogisticRegressionModel.numClasses">
<tt class="descname">numClasses</tt><a class="reference internal" href="_modules/pyspark/mllib/classification.html#LogisticRegressionModel.numClasses"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.LogisticRegressionModel.numClasses" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.classification.LogisticRegressionModel.numFeatures">
<tt class="descname">numFeatures</tt><a class="reference internal" href="_modules/pyspark/mllib/classification.html#LogisticRegressionModel.numFeatures"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.LogisticRegressionModel.numFeatures" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.classification.LogisticRegressionModel.predict">
<tt class="descname">predict</tt><big>(</big><em>x</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#LogisticRegressionModel.predict"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.LogisticRegressionModel.predict" title="Permalink to this definition"></a></dt>
<dd><p>Predict values for a single data point or an RDD of points
using the model trained.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.classification.LogisticRegressionModel.save">
<tt class="descname">save</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#LogisticRegressionModel.save"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.LogisticRegressionModel.save" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.classification.LogisticRegressionModel.setThreshold">
<tt class="descname">setThreshold</tt><big>(</big><em>value</em><big>)</big><a class="headerlink" href="#pyspark.mllib.classification.LogisticRegressionModel.setThreshold" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Sets the threshold that separates positive predictions from
negative predictions. An example with prediction score greater
than or equal to this threshold is identified as an positive,
and negative otherwise. It is used for binary classification
only.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.classification.LogisticRegressionModel.threshold">
<tt class="descname">threshold</tt><a class="headerlink" href="#pyspark.mllib.classification.LogisticRegressionModel.threshold" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Returns the threshold (if any) used for converting raw
prediction scores into 0/1 predictions. It is used for
binary classification only.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.classification.LogisticRegressionModel.weights">
<tt class="descname">weights</tt><a class="headerlink" href="#pyspark.mllib.classification.LogisticRegressionModel.weights" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.classification.LogisticRegressionWithSGD">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.classification.</tt><tt class="descname">LogisticRegressionWithSGD</tt><a class="reference internal" href="_modules/pyspark/mllib/classification.html#LogisticRegressionWithSGD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.LogisticRegressionWithSGD" title="Permalink to this definition"></a></dt>
<dd><dl class="classmethod">
<dt id="pyspark.mllib.classification.LogisticRegressionWithSGD.train">
<em class="property">classmethod </em><tt class="descname">train</tt><big>(</big><em>data</em>, <em>iterations=100</em>, <em>step=1.0</em>, <em>miniBatchFraction=1.0</em>, <em>initialWeights=None</em>, <em>regParam=0.01</em>, <em>regType='l2'</em>, <em>intercept=False</em>, <em>validateData=True</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#LogisticRegressionWithSGD.train"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.LogisticRegressionWithSGD.train" title="Permalink to this definition"></a></dt>
<dd><p>Train a logistic regression model on the given data.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>data</strong> &#8211; The training data, an RDD of
LabeledPoint.</li>
<li><strong>iterations</strong> &#8211; The number of iterations
(default: 100).</li>
<li><strong>step</strong> &#8211; The step parameter used in SGD
(default: 1.0).</li>
<li><strong>miniBatchFraction</strong> &#8211; Fraction of data to be used for each
SGD iteration (default: 1.0).</li>
<li><strong>initialWeights</strong> &#8211; The initial weights (default: None).</li>
<li><strong>regParam</strong> &#8211; The regularizer parameter
(default: 0.01).</li>
<li><strong>regType</strong> &#8211; <p>The type of regularizer used for
training our model.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Allowed values:</th><td class="field-body"><ul class="first">
<li>&#8220;l1&#8221; for using L1 regularization</li>
<li>&#8220;l2&#8221; for using L2 regularization</li>
<li>None for no regularization</li>
</ul>
<p class="last">(default: &#8220;l2&#8221;)</p>
</td>
</tr>
</tbody>
</table>
</li>
<li><strong>intercept</strong> &#8211; Boolean parameter which indicates the
use or not of the augmented representation
for training data (i.e. whether bias
features are activated or not,
default: False).</li>
<li><strong>validateData</strong> &#8211; Boolean parameter which indicates if
the algorithm should validate data
before training. (default: True)</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.classification.LogisticRegressionWithLBFGS">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.classification.</tt><tt class="descname">LogisticRegressionWithLBFGS</tt><a class="reference internal" href="_modules/pyspark/mllib/classification.html#LogisticRegressionWithLBFGS"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.LogisticRegressionWithLBFGS" title="Permalink to this definition"></a></dt>
<dd><dl class="classmethod">
<dt id="pyspark.mllib.classification.LogisticRegressionWithLBFGS.train">
<em class="property">classmethod </em><tt class="descname">train</tt><big>(</big><em>data</em>, <em>iterations=100</em>, <em>initialWeights=None</em>, <em>regParam=0.01</em>, <em>regType='l2'</em>, <em>intercept=False</em>, <em>corrections=10</em>, <em>tolerance=0.0001</em>, <em>validateData=True</em>, <em>numClasses=2</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#LogisticRegressionWithLBFGS.train"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.LogisticRegressionWithLBFGS.train" title="Permalink to this definition"></a></dt>
<dd><p>Train a logistic regression model on the given data.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>data</strong> &#8211; The training data, an RDD of
LabeledPoint.</li>
<li><strong>iterations</strong> &#8211; The number of iterations
(default: 100).</li>
<li><strong>initialWeights</strong> &#8211; The initial weights (default: None).</li>
<li><strong>regParam</strong> &#8211; The regularizer parameter
(default: 0.01).</li>
<li><strong>regType</strong> &#8211; <p>The type of regularizer used for
training our model.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Allowed values:</th><td class="field-body"><ul class="first">
<li>&#8220;l1&#8221; for using L1 regularization</li>
<li>&#8220;l2&#8221; for using L2 regularization</li>
<li>None for no regularization</li>
</ul>
<p class="last">(default: &#8220;l2&#8221;)</p>
</td>
</tr>
</tbody>
</table>
</li>
<li><strong>intercept</strong> &#8211; Boolean parameter which indicates the
use or not of the augmented representation
for training data (i.e. whether bias
features are activated or not,
default: False).</li>
<li><strong>corrections</strong> &#8211; The number of corrections used in the
LBFGS update (default: 10).</li>
<li><strong>tolerance</strong> &#8211; The convergence tolerance of iterations
for L-BFGS (default: 1e-4).</li>
<li><strong>validateData</strong> &#8211; Boolean parameter which indicates if the
algorithm should validate data before
training. (default: True)</li>
<li><strong>numClasses</strong> &#8211; The number of classes (i.e., outcomes) a
label can take in Multinomial Logistic
Regression (default: 2).</li>
</ul>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">]),</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span> <span class="o">=</span> <span class="n">LogisticRegressionWithLBFGS</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">])</span>
<span class="go">1</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">])</span>
<span class="go">0</span>
</pre></div>
</div>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.classification.SVMModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.classification.</tt><tt class="descname">SVMModel</tt><big>(</big><em>weights</em>, <em>intercept</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#SVMModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.SVMModel" title="Permalink to this definition"></a></dt>
<dd><p>Model for Support Vector Machines (SVMs).</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>weights</strong> &#8211; Weights computed for every feature.</li>
<li><strong>intercept</strong> &#8211; Intercept computed for this model.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">2.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">3.0</span><span class="p">])</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">svm</span> <span class="o">=</span> <span class="n">SVMWithSGD</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">svm</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">1.0</span><span class="p">])</span>
<span class="go">1</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">svm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="mf">1.0</span><span class="p">]]))</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[1]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">svm</span><span class="o">.</span><span class="n">clearThreshold</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">svm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]))</span>
<span class="go">1.44...</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">sparse_data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="o">-</span><span class="mf">1.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">0.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">2.0</span><span class="p">}))</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">svm</span> <span class="o">=</span> <span class="n">SVMWithSGD</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">sparse_data</span><span class="p">),</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">svm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span>
<span class="go">1</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">svm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="o">-</span><span class="mf">1.0</span><span class="p">}))</span>
<span class="go">0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">os</span><span class="o">,</span> <span class="nn">tempfile</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">path</span> <span class="o">=</span> <span class="n">tempfile</span><span class="o">.</span><span class="n">mkdtemp</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">svm</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span> <span class="o">=</span> <span class="n">SVMModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span>
<span class="go">1</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="o">-</span><span class="mf">1.0</span><span class="p">}))</span>
<span class="go">0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">shutil</span> <span class="kn">import</span> <span class="n">rmtree</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">try</span><span class="p">:</span>
<span class="gp">... </span> <span class="n">rmtree</span><span class="p">(</span><span class="n">path</span><span class="p">)</span>
<span class="gp">... </span><span class="k">except</span><span class="p">:</span>
<span class="gp">... </span> <span class="k">pass</span>
</pre></div>
</div>
<dl class="method">
<dt id="pyspark.mllib.classification.SVMModel.clearThreshold">
<tt class="descname">clearThreshold</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.classification.SVMModel.clearThreshold" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Clears the threshold so that <cite>predict</cite> will output raw
prediction scores. It is used for binary classification only.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.classification.SVMModel.intercept">
<tt class="descname">intercept</tt><a class="headerlink" href="#pyspark.mllib.classification.SVMModel.intercept" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.classification.SVMModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#SVMModel.load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.SVMModel.load" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.classification.SVMModel.predict">
<tt class="descname">predict</tt><big>(</big><em>x</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#SVMModel.predict"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.SVMModel.predict" title="Permalink to this definition"></a></dt>
<dd><p>Predict values for a single data point or an RDD of points
using the model trained.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.classification.SVMModel.save">
<tt class="descname">save</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#SVMModel.save"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.SVMModel.save" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.classification.SVMModel.setThreshold">
<tt class="descname">setThreshold</tt><big>(</big><em>value</em><big>)</big><a class="headerlink" href="#pyspark.mllib.classification.SVMModel.setThreshold" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Sets the threshold that separates positive predictions from
negative predictions. An example with prediction score greater
than or equal to this threshold is identified as an positive,
and negative otherwise. It is used for binary classification
only.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.classification.SVMModel.threshold">
<tt class="descname">threshold</tt><a class="headerlink" href="#pyspark.mllib.classification.SVMModel.threshold" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Returns the threshold (if any) used for converting raw
prediction scores into 0/1 predictions. It is used for
binary classification only.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.classification.SVMModel.weights">
<tt class="descname">weights</tt><a class="headerlink" href="#pyspark.mllib.classification.SVMModel.weights" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.classification.SVMWithSGD">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.classification.</tt><tt class="descname">SVMWithSGD</tt><a class="reference internal" href="_modules/pyspark/mllib/classification.html#SVMWithSGD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.SVMWithSGD" title="Permalink to this definition"></a></dt>
<dd><dl class="classmethod">
<dt id="pyspark.mllib.classification.SVMWithSGD.train">
<em class="property">classmethod </em><tt class="descname">train</tt><big>(</big><em>data</em>, <em>iterations=100</em>, <em>step=1.0</em>, <em>regParam=0.01</em>, <em>miniBatchFraction=1.0</em>, <em>initialWeights=None</em>, <em>regType='l2'</em>, <em>intercept=False</em>, <em>validateData=True</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#SVMWithSGD.train"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.SVMWithSGD.train" title="Permalink to this definition"></a></dt>
<dd><p>Train a support vector machine on the given data.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>data</strong> &#8211; The training data, an RDD of
LabeledPoint.</li>
<li><strong>iterations</strong> &#8211; The number of iterations
(default: 100).</li>
<li><strong>step</strong> &#8211; The step parameter used in SGD
(default: 1.0).</li>
<li><strong>regParam</strong> &#8211; The regularizer parameter
(default: 0.01).</li>
<li><strong>miniBatchFraction</strong> &#8211; Fraction of data to be used for each
SGD iteration (default: 1.0).</li>
<li><strong>initialWeights</strong> &#8211; The initial weights (default: None).</li>
<li><strong>regType</strong> &#8211; <p>The type of regularizer used for
training our model.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Allowed values:</th><td class="field-body"><ul class="first">
<li>&#8220;l1&#8221; for using L1 regularization</li>
<li>&#8220;l2&#8221; for using L2 regularization</li>
<li>None for no regularization</li>
</ul>
<p class="last">(default: &#8220;l2&#8221;)</p>
</td>
</tr>
</tbody>
</table>
</li>
<li><strong>intercept</strong> &#8211; Boolean parameter which indicates the
use or not of the augmented representation
for training data (i.e. whether bias
features are activated or not,
default: False).</li>
<li><strong>validateData</strong> &#8211; Boolean parameter which indicates if
the algorithm should validate data
before training. (default: True)</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.classification.NaiveBayesModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.classification.</tt><tt class="descname">NaiveBayesModel</tt><big>(</big><em>labels</em>, <em>pi</em>, <em>theta</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#NaiveBayesModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.NaiveBayesModel" title="Permalink to this definition"></a></dt>
<dd><p>Model for Naive Bayes classifiers.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>labels</strong> &#8211; list of labels.</li>
<li><strong>pi</strong> &#8211; log of class priors, whose dimension is C,
number of labels.</li>
<li><strong>theta</strong> &#8211; log of class conditional probabilities, whose
dimension is C-by-D, where D is number of features.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">]),</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">NaiveBayes</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">]))</span>
<span class="go">0.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">]))</span>
<span class="go">1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">]]))</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[1.0]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sparse_data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">0.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">NaiveBayes</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">sparse_data</span><span class="p">))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span>
<span class="go">0.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span>
<span class="go">1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">os</span><span class="o">,</span> <span class="nn">tempfile</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">path</span> <span class="o">=</span> <span class="n">tempfile</span><span class="o">.</span><span class="n">mkdtemp</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span> <span class="o">=</span> <span class="n">NaiveBayesModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span> <span class="o">==</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">shutil</span> <span class="kn">import</span> <span class="n">rmtree</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">try</span><span class="p">:</span>
<span class="gp">... </span> <span class="n">rmtree</span><span class="p">(</span><span class="n">path</span><span class="p">)</span>
<span class="gp">... </span><span class="k">except</span> <span class="ne">OSError</span><span class="p">:</span>
<span class="gp">... </span> <span class="k">pass</span>
</pre></div>
</div>
<dl class="classmethod">
<dt id="pyspark.mllib.classification.NaiveBayesModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#NaiveBayesModel.load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.NaiveBayesModel.load" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.classification.NaiveBayesModel.predict">
<tt class="descname">predict</tt><big>(</big><em>x</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#NaiveBayesModel.predict"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.NaiveBayesModel.predict" title="Permalink to this definition"></a></dt>
<dd><p>Return the most likely class for a data vector
or an RDD of vectors</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.classification.NaiveBayesModel.save">
<tt class="descname">save</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#NaiveBayesModel.save"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.NaiveBayesModel.save" title="Permalink to this definition"></a></dt>
<dd><p>Save this model to the given path.</p>
<dl class="docutils">
<dt>This saves:</dt>
<dd><ul class="first last simple">
<li>human-readable (JSON) model metadata to path/metadata/</li>
<li>Parquet formatted data to path/data/</li>
</ul>
</dd>
</dl>
<p>The model may be loaded using py:meth:<cite>Loader.load</cite>.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>sc</strong> &#8211; Spark context used to save model data.</li>
<li><strong>path</strong> &#8211; Path specifying the directory in which to save
this model. If the directory already exists,
this method throws an exception.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.classification.NaiveBayes">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.classification.</tt><tt class="descname">NaiveBayes</tt><a class="reference internal" href="_modules/pyspark/mllib/classification.html#NaiveBayes"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.NaiveBayes" title="Permalink to this definition"></a></dt>
<dd><dl class="classmethod">
<dt id="pyspark.mllib.classification.NaiveBayes.train">
<em class="property">classmethod </em><tt class="descname">train</tt><big>(</big><em>data</em>, <em>lambda_=1.0</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#NaiveBayes.train"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.NaiveBayes.train" title="Permalink to this definition"></a></dt>
<dd><p>Train a Naive Bayes model given an RDD of (label, features)
vectors.</p>
<p>This is the Multinomial NB (U{<a class="reference external" href="http://tinyurl.com/lsdw6p">http://tinyurl.com/lsdw6p</a>}) which
can handle all kinds of discrete data. For example, by
converting documents into TF-IDF vectors, it can be used for
document classification. By making every vector a 0-1 vector,
it can also be used as Bernoulli NB (U{<a class="reference external" href="http://tinyurl.com/p7c96j6">http://tinyurl.com/p7c96j6</a>}).
The input feature values must be nonnegative.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>data</strong> &#8211; RDD of LabeledPoint.</li>
<li><strong>lambda</strong> &#8211; The smoothing parameter (default: 1.0).</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.classification.StreamingLogisticRegressionWithSGD">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.classification.</tt><tt class="descname">StreamingLogisticRegressionWithSGD</tt><big>(</big><em>stepSize=0.1</em>, <em>numIterations=50</em>, <em>miniBatchFraction=1.0</em>, <em>regParam=0.01</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#StreamingLogisticRegressionWithSGD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.StreamingLogisticRegressionWithSGD" title="Permalink to this definition"></a></dt>
<dd><p>Run LogisticRegression with SGD on a batch of data.</p>
<p>The weights obtained at the end of training a stream are used as initial
weights for the next batch.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>stepSize</strong> &#8211; Step size for each iteration of gradient descent.</li>
<li><strong>numIterations</strong> &#8211; Number of iterations run for each batch of data.</li>
<li><strong>miniBatchFraction</strong> &#8211; Fraction of data on which SGD is run for each
iteration.</li>
<li><strong>regParam</strong> &#8211; L2 Regularization parameter.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<dl class="method">
<dt id="pyspark.mllib.classification.StreamingLogisticRegressionWithSGD.latestModel">
<tt class="descname">latestModel</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.classification.StreamingLogisticRegressionWithSGD.latestModel" title="Permalink to this definition"></a></dt>
<dd><p>Returns the latest model.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.classification.StreamingLogisticRegressionWithSGD.predictOn">
<tt class="descname">predictOn</tt><big>(</big><em>dstream</em><big>)</big><a class="headerlink" href="#pyspark.mllib.classification.StreamingLogisticRegressionWithSGD.predictOn" title="Permalink to this definition"></a></dt>
<dd><p>Make predictions on a dstream.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Returns:</th><td class="field-body">Transformed dstream object.</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.classification.StreamingLogisticRegressionWithSGD.predictOnValues">
<tt class="descname">predictOnValues</tt><big>(</big><em>dstream</em><big>)</big><a class="headerlink" href="#pyspark.mllib.classification.StreamingLogisticRegressionWithSGD.predictOnValues" title="Permalink to this definition"></a></dt>
<dd><p>Make predictions on a keyed dstream.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Returns:</th><td class="field-body">Transformed dstream object.</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.classification.StreamingLogisticRegressionWithSGD.setInitialWeights">
<tt class="descname">setInitialWeights</tt><big>(</big><em>initialWeights</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#StreamingLogisticRegressionWithSGD.setInitialWeights"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.StreamingLogisticRegressionWithSGD.setInitialWeights" title="Permalink to this definition"></a></dt>
<dd><p>Set the initial value of weights.</p>
<p>This must be set before running trainOn and predictOn.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.classification.StreamingLogisticRegressionWithSGD.trainOn">
<tt class="descname">trainOn</tt><big>(</big><em>dstream</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/classification.html#StreamingLogisticRegressionWithSGD.trainOn"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.classification.StreamingLogisticRegressionWithSGD.trainOn" title="Permalink to this definition"></a></dt>
<dd><p>Train the model on the incoming dstream.</p>
</dd></dl>
</dd></dl>
</div>
<div class="section" id="module-pyspark.mllib.clustering">
<span id="pyspark-mllib-clustering-module"></span><h2>pyspark.mllib.clustering module<a class="headerlink" href="#module-pyspark.mllib.clustering" title="Permalink to this headline"></a></h2>
<dl class="class">
<dt id="pyspark.mllib.clustering.KMeansModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.clustering.</tt><tt class="descname">KMeansModel</tt><big>(</big><em>centers</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#KMeansModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.KMeansModel" title="Permalink to this definition"></a></dt>
<dd><p>A clustering model derived from the k-means method.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">9.0</span><span class="p">,</span><span class="mf">8.0</span><span class="p">,</span> <span class="mf">8.0</span><span class="p">,</span><span class="mf">9.0</span><span class="p">])</span><span class="o">.</span><span class="n">reshape</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">KMeans</span><span class="o">.</span><span class="n">train</span><span class="p">(</span>
<span class="gp">... </span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="mi">2</span><span class="p">,</span> <span class="n">maxIterations</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span> <span class="n">runs</span><span class="o">=</span><span class="mi">30</span><span class="p">,</span> <span class="n">initializationMode</span><span class="o">=</span><span class="s">&quot;random&quot;</span><span class="p">,</span>
<span class="gp">... </span> <span class="n">seed</span><span class="o">=</span><span class="mi">50</span><span class="p">,</span> <span class="n">initializationSteps</span><span class="o">=</span><span class="mi">5</span><span class="p">,</span> <span class="n">epsilon</span><span class="o">=</span><span class="mf">1e-4</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">]))</span> <span class="o">==</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">]))</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">8.0</span><span class="p">,</span> <span class="mf">9.0</span><span class="p">]))</span> <span class="o">==</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">9.0</span><span class="p">,</span> <span class="mf">8.0</span><span class="p">]))</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">k</span>
<span class="go">2</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">computeCost</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">))</span>
<span class="go">2.0000000000000004</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">KMeans</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sparse_data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}),</span>
<span class="gp">... </span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.1</span><span class="p">}),</span>
<span class="gp">... </span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="p">{</span><span class="mi">2</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}),</span>
<span class="gp">... </span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="p">{</span><span class="mi">2</span><span class="p">:</span> <span class="mf">1.1</span><span class="p">})</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">KMeans</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">sparse_data</span><span class="p">),</span> <span class="mi">2</span><span class="p">,</span> <span class="n">initializationMode</span><span class="o">=</span><span class="s">&quot;k-means||&quot;</span><span class="p">,</span>
<span class="gp">... </span> <span class="n">seed</span><span class="o">=</span><span class="mi">50</span><span class="p">,</span> <span class="n">initializationSteps</span><span class="o">=</span><span class="mi">5</span><span class="p">,</span> <span class="n">epsilon</span><span class="o">=</span><span class="mf">1e-4</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">0.</span><span class="p">,</span> <span class="mf">1.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">]))</span> <span class="o">==</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.1</span><span class="p">,</span> <span class="mf">0.</span><span class="p">]))</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">0.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="mf">1.</span><span class="p">]))</span> <span class="o">==</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mf">1.1</span><span class="p">]))</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">sparse_data</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span> <span class="o">==</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">sparse_data</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">sparse_data</span><span class="p">[</span><span class="mi">2</span><span class="p">])</span> <span class="o">==</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">sparse_data</span><span class="p">[</span><span class="mi">3</span><span class="p">])</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">isinstance</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">clusterCenters</span><span class="p">,</span> <span class="nb">list</span><span class="p">)</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">os</span><span class="o">,</span> <span class="nn">tempfile</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">path</span> <span class="o">=</span> <span class="n">tempfile</span><span class="o">.</span><span class="n">mkdtemp</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span> <span class="o">=</span> <span class="n">KMeansModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">sparse_data</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span> <span class="o">==</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">sparse_data</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">shutil</span> <span class="kn">import</span> <span class="n">rmtree</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">try</span><span class="p">:</span>
<span class="gp">... </span> <span class="n">rmtree</span><span class="p">(</span><span class="n">path</span><span class="p">)</span>
<span class="gp">... </span><span class="k">except</span> <span class="ne">OSError</span><span class="p">:</span>
<span class="gp">... </span> <span class="k">pass</span>
</pre></div>
</div>
<dl class="attribute">
<dt id="pyspark.mllib.clustering.KMeansModel.clusterCenters">
<tt class="descname">clusterCenters</tt><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#KMeansModel.clusterCenters"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.KMeansModel.clusterCenters" title="Permalink to this definition"></a></dt>
<dd><p>Get the cluster centers, represented as a list of NumPy arrays.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.KMeansModel.computeCost">
<tt class="descname">computeCost</tt><big>(</big><em>rdd</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#KMeansModel.computeCost"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.KMeansModel.computeCost" title="Permalink to this definition"></a></dt>
<dd><p>Return the K-means cost (sum of squared distances of points to
their nearest center) for this model on the given data.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.clustering.KMeansModel.k">
<tt class="descname">k</tt><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#KMeansModel.k"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.KMeansModel.k" title="Permalink to this definition"></a></dt>
<dd><p>Total number of clusters.</p>
</dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.clustering.KMeansModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#KMeansModel.load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.KMeansModel.load" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.KMeansModel.predict">
<tt class="descname">predict</tt><big>(</big><em>x</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#KMeansModel.predict"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.KMeansModel.predict" title="Permalink to this definition"></a></dt>
<dd><p>Find the cluster to which x belongs in this model.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.KMeansModel.save">
<tt class="descname">save</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#KMeansModel.save"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.KMeansModel.save" title="Permalink to this definition"></a></dt>
<dd><p>Save this model to the given path.</p>
<dl class="docutils">
<dt>This saves:</dt>
<dd><ul class="first last simple">
<li>human-readable (JSON) model metadata to path/metadata/</li>
<li>Parquet formatted data to path/data/</li>
</ul>
</dd>
</dl>
<p>The model may be loaded using py:meth:<cite>Loader.load</cite>.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>sc</strong> &#8211; Spark context used to save model data.</li>
<li><strong>path</strong> &#8211; Path specifying the directory in which to save
this model. If the directory already exists,
this method throws an exception.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.clustering.KMeans">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.clustering.</tt><tt class="descname">KMeans</tt><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#KMeans"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.KMeans" title="Permalink to this definition"></a></dt>
<dd><dl class="classmethod">
<dt id="pyspark.mllib.clustering.KMeans.train">
<em class="property">classmethod </em><tt class="descname">train</tt><big>(</big><em>rdd</em>, <em>k</em>, <em>maxIterations=100</em>, <em>runs=1</em>, <em>initializationMode='k-means||'</em>, <em>seed=None</em>, <em>initializationSteps=5</em>, <em>epsilon=0.0001</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#KMeans.train"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.KMeans.train" title="Permalink to this definition"></a></dt>
<dd><p>Train a k-means clustering model.</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.clustering.GaussianMixtureModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.clustering.</tt><tt class="descname">GaussianMixtureModel</tt><big>(</big><em>java_model</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#GaussianMixtureModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.GaussianMixtureModel" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>A clustering model derived from the Gaussian Mixture Model method.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.linalg</span> <span class="kn">import</span> <span class="n">Vectors</span><span class="p">,</span> <span class="n">DenseMatrix</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">numpy.testing</span> <span class="kn">import</span> <span class="n">assert_equal</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">shutil</span> <span class="kn">import</span> <span class="n">rmtree</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">os</span><span class="o">,</span> <span class="nn">tempfile</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">clusterdata_1</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="o">-</span><span class="mf">0.1</span><span class="p">,</span><span class="o">-</span><span class="mf">0.05</span><span class="p">,</span><span class="o">-</span><span class="mf">0.01</span><span class="p">,</span><span class="o">-</span><span class="mf">0.1</span><span class="p">,</span>
<span class="gp">... </span> <span class="mf">0.9</span><span class="p">,</span><span class="mf">0.8</span><span class="p">,</span><span class="mf">0.75</span><span class="p">,</span><span class="mf">0.935</span><span class="p">,</span>
<span class="gp">... </span> <span class="o">-</span><span class="mf">0.83</span><span class="p">,</span><span class="o">-</span><span class="mf">0.68</span><span class="p">,</span><span class="o">-</span><span class="mf">0.91</span><span class="p">,</span><span class="o">-</span><span class="mf">0.76</span> <span class="p">])</span><span class="o">.</span><span class="n">reshape</span><span class="p">(</span><span class="mi">6</span><span class="p">,</span> <span class="mi">2</span><span class="p">))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">GaussianMixture</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">clusterdata_1</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="n">convergenceTol</span><span class="o">=</span><span class="mf">0.0001</span><span class="p">,</span>
<span class="gp">... </span> <span class="n">maxIterations</span><span class="o">=</span><span class="mi">50</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">labels</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">clusterdata_1</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">labels</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">==</span><span class="n">labels</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="go">False</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">labels</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">==</span><span class="n">labels</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">labels</span><span class="p">[</span><span class="mi">4</span><span class="p">]</span><span class="o">==</span><span class="n">labels</span><span class="p">[</span><span class="mi">5</span><span class="p">]</span>
<span class="go">True</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">path</span> <span class="o">=</span> <span class="n">tempfile</span><span class="o">.</span><span class="n">mkdtemp</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span> <span class="o">=</span> <span class="n">GaussianMixtureModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">assert_equal</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">weights</span><span class="p">,</span> <span class="n">sameModel</span><span class="o">.</span><span class="n">weights</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mus</span><span class="p">,</span> <span class="n">sigmas</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span>
<span class="gp">... </span> <span class="nb">zip</span><span class="p">(</span><span class="o">*</span><span class="p">[(</span><span class="n">g</span><span class="o">.</span><span class="n">mu</span><span class="p">,</span> <span class="n">g</span><span class="o">.</span><span class="n">sigma</span><span class="p">)</span> <span class="k">for</span> <span class="n">g</span> <span class="ow">in</span> <span class="n">model</span><span class="o">.</span><span class="n">gaussians</span><span class="p">]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameMus</span><span class="p">,</span> <span class="n">sameSigmas</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span>
<span class="gp">... </span> <span class="nb">zip</span><span class="p">(</span><span class="o">*</span><span class="p">[(</span><span class="n">g</span><span class="o">.</span><span class="n">mu</span><span class="p">,</span> <span class="n">g</span><span class="o">.</span><span class="n">sigma</span><span class="p">)</span> <span class="k">for</span> <span class="n">g</span> <span class="ow">in</span> <span class="n">sameModel</span><span class="o">.</span><span class="n">gaussians</span><span class="p">]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mus</span> <span class="o">==</span> <span class="n">sameMus</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sigmas</span> <span class="o">==</span> <span class="n">sameSigmas</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">shutil</span> <span class="kn">import</span> <span class="n">rmtree</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">try</span><span class="p">:</span>
<span class="gp">... </span> <span class="n">rmtree</span><span class="p">(</span><span class="n">path</span><span class="p">)</span>
<span class="gp">... </span><span class="k">except</span> <span class="ne">OSError</span><span class="p">:</span>
<span class="gp">... </span> <span class="k">pass</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="n">array</span><span class="p">([</span><span class="o">-</span><span class="mf">5.1971</span><span class="p">,</span> <span class="o">-</span><span class="mf">2.5359</span><span class="p">,</span> <span class="o">-</span><span class="mf">3.8220</span><span class="p">,</span>
<span class="gp">... </span> <span class="o">-</span><span class="mf">5.2211</span><span class="p">,</span> <span class="o">-</span><span class="mf">5.0602</span><span class="p">,</span> <span class="mf">4.7118</span><span class="p">,</span>
<span class="gp">... </span> <span class="mf">6.8989</span><span class="p">,</span> <span class="mf">3.4592</span><span class="p">,</span> <span class="mf">4.6322</span><span class="p">,</span>
<span class="gp">... </span> <span class="mf">5.7048</span><span class="p">,</span> <span class="mf">4.6567</span><span class="p">,</span> <span class="mf">5.5026</span><span class="p">,</span>
<span class="gp">... </span> <span class="mf">4.5605</span><span class="p">,</span> <span class="mf">5.2043</span><span class="p">,</span> <span class="mf">6.2734</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">clusterdata_2</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="o">.</span><span class="n">reshape</span><span class="p">(</span><span class="mi">5</span><span class="p">,</span><span class="mi">3</span><span class="p">))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">GaussianMixture</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">clusterdata_2</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="n">convergenceTol</span><span class="o">=</span><span class="mf">0.0001</span><span class="p">,</span>
<span class="gp">... </span> <span class="n">maxIterations</span><span class="o">=</span><span class="mi">150</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">labels</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">clusterdata_2</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">labels</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">==</span><span class="n">labels</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">labels</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span><span class="o">==</span><span class="n">labels</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span><span class="o">==</span><span class="n">labels</span><span class="p">[</span><span class="mi">4</span><span class="p">]</span>
<span class="go">True</span>
</pre></div>
</div>
<dl class="attribute">
<dt id="pyspark.mllib.clustering.GaussianMixtureModel.gaussians">
<tt class="descname">gaussians</tt><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#GaussianMixtureModel.gaussians"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.GaussianMixtureModel.gaussians" title="Permalink to this definition"></a></dt>
<dd><p>Array of MultivariateGaussian where gaussians[i] represents
the Multivariate Gaussian (Normal) Distribution for Gaussian i.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.clustering.GaussianMixtureModel.k">
<tt class="descname">k</tt><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#GaussianMixtureModel.k"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.GaussianMixtureModel.k" title="Permalink to this definition"></a></dt>
<dd><p>Number of gaussians in mixture.</p>
</dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.clustering.GaussianMixtureModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#GaussianMixtureModel.load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.GaussianMixtureModel.load" title="Permalink to this definition"></a></dt>
<dd><p>Load the GaussianMixtureModel from disk.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>sc</strong> &#8211; SparkContext</li>
<li><strong>path</strong> &#8211; str, path to where the model is stored.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.GaussianMixtureModel.predict">
<tt class="descname">predict</tt><big>(</big><em>x</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#GaussianMixtureModel.predict"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.GaussianMixtureModel.predict" title="Permalink to this definition"></a></dt>
<dd><p>Find the cluster to which the points in &#8216;x&#8217; has maximum membership
in this model.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>x</strong> &#8211; RDD of data points.</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">cluster_labels. RDD of cluster labels.</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.GaussianMixtureModel.predictSoft">
<tt class="descname">predictSoft</tt><big>(</big><em>x</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#GaussianMixtureModel.predictSoft"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.GaussianMixtureModel.predictSoft" title="Permalink to this definition"></a></dt>
<dd><p>Find the membership of each point in &#8216;x&#8217; to all mixture components.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>x</strong> &#8211; RDD of data points.</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">membership_matrix. RDD of array of double values.</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.clustering.GaussianMixtureModel.weights">
<tt class="descname">weights</tt><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#GaussianMixtureModel.weights"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.GaussianMixtureModel.weights" title="Permalink to this definition"></a></dt>
<dd><p>Weights for each Gaussian distribution in the mixture, where weights[i] is
the weight for Gaussian i, and weights.sum == 1.</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.clustering.GaussianMixture">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.clustering.</tt><tt class="descname">GaussianMixture</tt><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#GaussianMixture"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.GaussianMixture" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Learning algorithm for Gaussian Mixtures using the expectation-maximization algorithm.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>data</strong> &#8211; RDD of data points</li>
<li><strong>k</strong> &#8211; Number of components</li>
<li><strong>convergenceTol</strong> &#8211; Threshold value to check the convergence criteria. Defaults to 1e-3</li>
<li><strong>maxIterations</strong> &#8211; Number of iterations. Default to 100</li>
<li><strong>seed</strong> &#8211; Random Seed</li>
<li><strong>initialModel</strong> &#8211; GaussianMixtureModel for initializing learning</li>
</ul>
</td>
</tr>
</tbody>
</table>
<dl class="classmethod">
<dt id="pyspark.mllib.clustering.GaussianMixture.train">
<em class="property">classmethod </em><tt class="descname">train</tt><big>(</big><em>rdd</em>, <em>k</em>, <em>convergenceTol=0.001</em>, <em>maxIterations=100</em>, <em>seed=None</em>, <em>initialModel=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#GaussianMixture.train"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.GaussianMixture.train" title="Permalink to this definition"></a></dt>
<dd><p>Train a Gaussian Mixture clustering model.</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.clustering.PowerIterationClusteringModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.clustering.</tt><tt class="descname">PowerIterationClusteringModel</tt><big>(</big><em>java_model</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#PowerIterationClusteringModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.PowerIterationClusteringModel" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Model produced by [[PowerIterationClustering]].</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span>
<span class="gp">... </span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mf">0.1</span><span class="p">),</span> <span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="mi">15</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span>
<span class="gp">... </span><span class="p">(</span><span class="mi">6</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">11</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span>
<span class="gp">... </span><span class="p">(</span><span class="mi">11</span><span class="p">,</span> <span class="mi">12</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mi">12</span><span class="p">,</span> <span class="mi">13</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mi">13</span><span class="p">,</span> <span class="mi">14</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mi">14</span><span class="p">,</span> <span class="mi">15</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">)]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">PowerIterationClustering</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">rdd</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">100</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">k</span>
<span class="go">2</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">result</span> <span class="o">=</span> <span class="nb">sorted</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">assignments</span><span class="p">()</span><span class="o">.</span><span class="n">collect</span><span class="p">(),</span> <span class="n">key</span><span class="o">=</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">x</span><span class="o">.</span><span class="n">id</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">result</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span> <span class="o">==</span> <span class="n">result</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span> <span class="o">==</span> <span class="n">result</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span> <span class="o">==</span> <span class="n">result</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">result</span><span class="p">[</span><span class="mi">4</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span> <span class="o">==</span> <span class="n">result</span><span class="p">[</span><span class="mi">5</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span> <span class="o">==</span> <span class="n">result</span><span class="p">[</span><span class="mi">6</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span> <span class="o">==</span> <span class="n">result</span><span class="p">[</span><span class="mi">7</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">os</span><span class="o">,</span> <span class="nn">tempfile</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">path</span> <span class="o">=</span> <span class="n">tempfile</span><span class="o">.</span><span class="n">mkdtemp</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span> <span class="o">=</span> <span class="n">PowerIterationClusteringModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span><span class="o">.</span><span class="n">k</span>
<span class="go">2</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">result</span> <span class="o">=</span> <span class="nb">sorted</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">assignments</span><span class="p">()</span><span class="o">.</span><span class="n">collect</span><span class="p">(),</span> <span class="n">key</span><span class="o">=</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">x</span><span class="o">.</span><span class="n">id</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">result</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span> <span class="o">==</span> <span class="n">result</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span> <span class="o">==</span> <span class="n">result</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span> <span class="o">==</span> <span class="n">result</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">result</span><span class="p">[</span><span class="mi">4</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span> <span class="o">==</span> <span class="n">result</span><span class="p">[</span><span class="mi">5</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span> <span class="o">==</span> <span class="n">result</span><span class="p">[</span><span class="mi">6</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span> <span class="o">==</span> <span class="n">result</span><span class="p">[</span><span class="mi">7</span><span class="p">]</span><span class="o">.</span><span class="n">cluster</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">shutil</span> <span class="kn">import</span> <span class="n">rmtree</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">try</span><span class="p">:</span>
<span class="gp">... </span> <span class="n">rmtree</span><span class="p">(</span><span class="n">path</span><span class="p">)</span>
<span class="gp">... </span><span class="k">except</span> <span class="ne">OSError</span><span class="p">:</span>
<span class="gp">... </span> <span class="k">pass</span>
</pre></div>
</div>
<dl class="method">
<dt id="pyspark.mllib.clustering.PowerIterationClusteringModel.assignments">
<tt class="descname">assignments</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#PowerIterationClusteringModel.assignments"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.PowerIterationClusteringModel.assignments" title="Permalink to this definition"></a></dt>
<dd><p>Returns the cluster assignments of this model.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.clustering.PowerIterationClusteringModel.k">
<tt class="descname">k</tt><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#PowerIterationClusteringModel.k"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.PowerIterationClusteringModel.k" title="Permalink to this definition"></a></dt>
<dd><p>Returns the number of clusters.</p>
</dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.clustering.PowerIterationClusteringModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#PowerIterationClusteringModel.load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.PowerIterationClusteringModel.load" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.clustering.PowerIterationClustering">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.clustering.</tt><tt class="descname">PowerIterationClustering</tt><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#PowerIterationClustering"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.PowerIterationClustering" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Power Iteration Clustering (PIC), a scalable graph clustering algorithm
developed by [[<a class="reference external" href="http://www.icml2010.org/papers/387.pdf">http://www.icml2010.org/papers/387.pdf</a> Lin and Cohen]].
From the abstract: PIC finds a very low-dimensional embedding of a
dataset using truncated power iteration on a normalized pair-wise
similarity matrix of the data.</p>
<dl class="class">
<dt id="pyspark.mllib.clustering.PowerIterationClustering.Assignment">
<em class="property">class </em><tt class="descname">Assignment</tt><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#PowerIterationClustering.Assignment"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.PowerIterationClustering.Assignment" title="Permalink to this definition"></a></dt>
<dd><p>Represents an (id, cluster) tuple.</p>
</dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.clustering.PowerIterationClustering.train">
<em class="property">classmethod </em><tt class="descclassname">PowerIterationClustering.</tt><tt class="descname">train</tt><big>(</big><em>rdd</em>, <em>k</em>, <em>maxIterations=100</em>, <em>initMode='random'</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#PowerIterationClustering.train"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.PowerIterationClustering.train" title="Permalink to this definition"></a></dt>
<dd><table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>rdd</strong> &#8211; an RDD of (i, j, s,,ij,,) tuples representing the
affinity matrix, which is the matrix A in the PIC paper.
The similarity s,,ij,, must be nonnegative.
This is a symmetric matrix and hence s,,ij,, = s,,ji,,.
For any (i, j) with nonzero similarity, there should be
either (i, j, s,,ij,,) or (j, i, s,,ji,,) in the input.
Tuples with i = j are ignored, because we assume
s,,ij,, = 0.0.</li>
<li><strong>k</strong> &#8211; Number of clusters.</li>
<li><strong>maxIterations</strong> &#8211; Maximum number of iterations of the
PIC algorithm.</li>
<li><strong>initMode</strong> &#8211; Initialization mode.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.clustering.StreamingKMeans">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.clustering.</tt><tt class="descname">StreamingKMeans</tt><big>(</big><em>k=2</em>, <em>decayFactor=1.0</em>, <em>timeUnit='batches'</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#StreamingKMeans"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.StreamingKMeans" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Provides methods to set k, decayFactor, timeUnit to configure the
KMeans algorithm for fitting and predicting on incoming dstreams.
More details on how the centroids are updated are provided under the
docs of StreamingKMeansModel.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>k</strong> &#8211; int, number of clusters</li>
<li><strong>decayFactor</strong> &#8211; float, forgetfulness of the previous centroids.</li>
<li><strong>timeUnit</strong> &#8211; can be &#8220;batches&#8221; or &#8220;points&#8221;. If points, then the
decayfactor is raised to the power of no. of new points.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<dl class="method">
<dt id="pyspark.mllib.clustering.StreamingKMeans.latestModel">
<tt class="descname">latestModel</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#StreamingKMeans.latestModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.StreamingKMeans.latestModel" title="Permalink to this definition"></a></dt>
<dd><p>Return the latest model</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.StreamingKMeans.predictOn">
<tt class="descname">predictOn</tt><big>(</big><em>dstream</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#StreamingKMeans.predictOn"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.StreamingKMeans.predictOn" title="Permalink to this definition"></a></dt>
<dd><p>Make predictions on a dstream.
Returns a transformed dstream object</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.StreamingKMeans.predictOnValues">
<tt class="descname">predictOnValues</tt><big>(</big><em>dstream</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#StreamingKMeans.predictOnValues"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.StreamingKMeans.predictOnValues" title="Permalink to this definition"></a></dt>
<dd><p>Make predictions on a keyed dstream.
Returns a transformed dstream object.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.StreamingKMeans.setDecayFactor">
<tt class="descname">setDecayFactor</tt><big>(</big><em>decayFactor</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#StreamingKMeans.setDecayFactor"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.StreamingKMeans.setDecayFactor" title="Permalink to this definition"></a></dt>
<dd><p>Set decay factor.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.StreamingKMeans.setHalfLife">
<tt class="descname">setHalfLife</tt><big>(</big><em>halfLife</em>, <em>timeUnit</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#StreamingKMeans.setHalfLife"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.StreamingKMeans.setHalfLife" title="Permalink to this definition"></a></dt>
<dd><p>Set number of batches after which the centroids of that
particular batch has half the weightage.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.StreamingKMeans.setInitialCenters">
<tt class="descname">setInitialCenters</tt><big>(</big><em>centers</em>, <em>weights</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#StreamingKMeans.setInitialCenters"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.StreamingKMeans.setInitialCenters" title="Permalink to this definition"></a></dt>
<dd><p>Set initial centers. Should be set before calling trainOn.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.StreamingKMeans.setK">
<tt class="descname">setK</tt><big>(</big><em>k</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#StreamingKMeans.setK"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.StreamingKMeans.setK" title="Permalink to this definition"></a></dt>
<dd><p>Set number of clusters.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.StreamingKMeans.setRandomCenters">
<tt class="descname">setRandomCenters</tt><big>(</big><em>dim</em>, <em>weight</em>, <em>seed</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#StreamingKMeans.setRandomCenters"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.StreamingKMeans.setRandomCenters" title="Permalink to this definition"></a></dt>
<dd><p>Set the initial centres to be random samples from
a gaussian population with constant weights.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.StreamingKMeans.trainOn">
<tt class="descname">trainOn</tt><big>(</big><em>dstream</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#StreamingKMeans.trainOn"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.StreamingKMeans.trainOn" title="Permalink to this definition"></a></dt>
<dd><p>Train the model on the incoming dstream.</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.clustering.StreamingKMeansModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.clustering.</tt><tt class="descname">StreamingKMeansModel</tt><big>(</big><em>clusterCenters</em>, <em>clusterWeights</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#StreamingKMeansModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.StreamingKMeansModel" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Clustering model which can perform an online update of the centroids.</p>
<p>The update formula for each centroid is given by</p>
<ul class="simple">
<li>c_t+1 = ((c_t * n_t * a) + (x_t * m_t)) / (n_t + m_t)</li>
<li>n_t+1 = n_t * a + m_t</li>
</ul>
<p>where</p>
<ul>
<li><p class="first">c_t: Centroid at the n_th iteration.</p>
</li>
<li><dl class="first docutils">
<dt>n_t: Number of samples (or) weights associated with the centroid</dt>
<dd><p class="first last">at the n_th iteration.</p>
</dd>
</dl>
</li>
<li><p class="first">x_t: Centroid of the new data closest to c_t.</p>
</li>
<li><p class="first">m_t: Number of samples (or) weights of the new data closest to c_t</p>
</li>
<li><p class="first">c_t+1: New centroid.</p>
</li>
<li><p class="first">n_t+1: New number of weights.</p>
</li>
<li><p class="first">a: Decay Factor, which gives the forgetfulness.</p>
</li>
</ul>
<p>Note that if a is set to 1, it is the weighted mean of the previous
and new data. If it set to zero, the old centroids are completely
forgotten.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>clusterCenters</strong> &#8211; Initial cluster centers.</li>
<li><strong>clusterWeights</strong> &#8211; List of weights assigned to each cluster.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">initCenters</span> <span class="o">=</span> <span class="p">[[</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">]]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">initWeights</span> <span class="o">=</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stkm</span> <span class="o">=</span> <span class="n">StreamingKMeansModel</span><span class="p">(</span><span class="n">initCenters</span><span class="p">,</span> <span class="n">initWeights</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="o">-</span><span class="mf">0.1</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.1</span><span class="p">],</span> <span class="p">[</span><span class="mf">0.1</span><span class="p">,</span> <span class="mf">0.1</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mf">0.9</span><span class="p">,</span> <span class="mf">0.9</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.1</span><span class="p">,</span> <span class="mf">1.1</span><span class="p">]])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stkm</span> <span class="o">=</span> <span class="n">stkm</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span> <span class="s">u&quot;batches&quot;</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stkm</span><span class="o">.</span><span class="n">centers</span>
<span class="go">array([[ 0., 0.],</span>
<span class="go"> [ 1., 1.]])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stkm</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="o">-</span><span class="mf">0.1</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.1</span><span class="p">])</span>
<span class="go">0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stkm</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">0.9</span><span class="p">,</span> <span class="mf">0.9</span><span class="p">])</span>
<span class="go">1</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stkm</span><span class="o">.</span><span class="n">clusterWeights</span>
<span class="go">[3.0, 3.0]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">decayFactor</span> <span class="o">=</span> <span class="mf">0.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">DenseVector</span><span class="p">([</span><span class="mf">1.5</span><span class="p">,</span> <span class="mf">1.5</span><span class="p">]),</span> <span class="n">DenseVector</span><span class="p">([</span><span class="mf">0.2</span><span class="p">,</span> <span class="mf">0.2</span><span class="p">])])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stkm</span> <span class="o">=</span> <span class="n">stkm</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="s">u&quot;batches&quot;</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stkm</span><span class="o">.</span><span class="n">centers</span>
<span class="go">array([[ 0.2, 0.2],</span>
<span class="go"> [ 1.5, 1.5]])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stkm</span><span class="o">.</span><span class="n">clusterWeights</span>
<span class="go">[1.0, 1.0]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stkm</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">0.2</span><span class="p">,</span> <span class="mf">0.2</span><span class="p">])</span>
<span class="go">0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stkm</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">1.5</span><span class="p">,</span> <span class="mf">1.5</span><span class="p">])</span>
<span class="go">1</span>
</pre></div>
</div>
<dl class="attribute">
<dt id="pyspark.mllib.clustering.StreamingKMeansModel.clusterWeights">
<tt class="descname">clusterWeights</tt><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#StreamingKMeansModel.clusterWeights"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.StreamingKMeansModel.clusterWeights" title="Permalink to this definition"></a></dt>
<dd><p>Return the cluster weights.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.StreamingKMeansModel.update">
<tt class="descname">update</tt><big>(</big><em>data</em>, <em>decayFactor</em>, <em>timeUnit</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#StreamingKMeansModel.update"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.StreamingKMeansModel.update" title="Permalink to this definition"></a></dt>
<dd><p>Update the centroids, according to data</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>data</strong> &#8211; Should be a RDD that represents the new data.</li>
<li><strong>decayFactor</strong> &#8211; forgetfulness of the previous centroids.</li>
<li><strong>timeUnit</strong> &#8211; Can be &#8220;batches&#8221; or &#8220;points&#8221;. If points, then the
decay factor is raised to the power of number of new
points and if batches, it is used as it is.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.clustering.LDA">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.clustering.</tt><tt class="descname">LDA</tt><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#LDA"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.LDA" title="Permalink to this definition"></a></dt>
<dd><dl class="classmethod">
<dt id="pyspark.mllib.clustering.LDA.train">
<em class="property">classmethod </em><tt class="descname">train</tt><big>(</big><em>rdd</em>, <em>k=10</em>, <em>maxIterations=20</em>, <em>docConcentration=-1.0</em>, <em>topicConcentration=-1.0</em>, <em>seed=None</em>, <em>checkpointInterval=10</em>, <em>optimizer='em'</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#LDA.train"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.LDA.train" title="Permalink to this definition"></a></dt>
<dd><p>Train a LDA model.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>rdd</strong> &#8211; RDD of data points</li>
<li><strong>k</strong> &#8211; Number of clusters you want</li>
<li><strong>maxIterations</strong> &#8211; Number of iterations. Default to 20</li>
<li><strong>docConcentration</strong> &#8211; Concentration parameter (commonly named &#8220;alpha&#8221;)
for the prior placed on documents&#8217; distributions over topics (&#8220;theta&#8221;).</li>
<li><strong>topicConcentration</strong> &#8211; Concentration parameter (commonly named &#8220;beta&#8221; or &#8220;eta&#8221;)
for the prior placed on topics&#8217; distributions over terms.</li>
<li><strong>seed</strong> &#8211; Random Seed</li>
<li><strong>checkpointInterval</strong> &#8211; Period (in iterations) between checkpoints.</li>
<li><strong>optimizer</strong> &#8211; LDAOptimizer used to perform the actual calculation.
Currently &#8220;em&#8221;, &#8220;online&#8221; are supported. Default to &#8220;em&#8221;.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.clustering.LDAModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.clustering.</tt><tt class="descname">LDAModel</tt><big>(</big><em>java_model</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#LDAModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.LDAModel" title="Permalink to this definition"></a></dt>
<dd><p>A clustering model derived from the LDA method.</p>
<p>Latent Dirichlet Allocation (LDA), a topic model designed for text documents.
Terminology
- &#8220;word&#8221; = &#8220;term&#8221;: an element of the vocabulary
- &#8220;token&#8221;: instance of a term appearing in a document
- &#8220;topic&#8221;: multinomial distribution over words representing some concept
References:
- Original LDA paper (journal version):
Blei, Ng, and Jordan. &#8220;Latent Dirichlet Allocation.&#8221; JMLR, 2003.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.linalg</span> <span class="kn">import</span> <span class="n">Vectors</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">numpy.testing</span> <span class="kn">import</span> <span class="n">assert_almost_equal</span><span class="p">,</span> <span class="n">assert_equal</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">])],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mi">2</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">})],</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">LDA</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">rdd</span><span class="p">,</span> <span class="n">k</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">vocabSize</span><span class="p">()</span>
<span class="go">2</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">topics</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">topicsMatrix</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">topics_expect</span> <span class="o">=</span> <span class="n">array</span><span class="p">([[</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">],</span> <span class="p">[</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">]])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">assert_almost_equal</span><span class="p">(</span><span class="n">topics</span><span class="p">,</span> <span class="n">topics_expect</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">os</span><span class="o">,</span> <span class="nn">tempfile</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">shutil</span> <span class="kn">import</span> <span class="n">rmtree</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">path</span> <span class="o">=</span> <span class="n">tempfile</span><span class="o">.</span><span class="n">mkdtemp</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span> <span class="o">=</span> <span class="n">LDAModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">assert_equal</span><span class="p">(</span><span class="n">sameModel</span><span class="o">.</span><span class="n">topicsMatrix</span><span class="p">(),</span> <span class="n">model</span><span class="o">.</span><span class="n">topicsMatrix</span><span class="p">())</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span><span class="o">.</span><span class="n">vocabSize</span><span class="p">()</span> <span class="o">==</span> <span class="n">model</span><span class="o">.</span><span class="n">vocabSize</span><span class="p">()</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">try</span><span class="p">:</span>
<span class="gp">... </span> <span class="n">rmtree</span><span class="p">(</span><span class="n">path</span><span class="p">)</span>
<span class="gp">... </span><span class="k">except</span> <span class="ne">OSError</span><span class="p">:</span>
<span class="gp">... </span> <span class="k">pass</span>
</pre></div>
</div>
<dl class="classmethod">
<dt id="pyspark.mllib.clustering.LDAModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#LDAModel.load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.LDAModel.load" title="Permalink to this definition"></a></dt>
<dd><p>Load the LDAModel from disk.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>sc</strong> &#8211; SparkContext</li>
<li><strong>path</strong> &#8211; str, path to where the model is stored.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.LDAModel.save">
<tt class="descname">save</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#LDAModel.save"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.LDAModel.save" title="Permalink to this definition"></a></dt>
<dd><p>Save the LDAModel on to disk.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>sc</strong> &#8211; SparkContext</li>
<li><strong>path</strong> &#8211; str, path to where the model needs to be stored.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.LDAModel.topicsMatrix">
<tt class="descname">topicsMatrix</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#LDAModel.topicsMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.LDAModel.topicsMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Inferred topics, where each topic is represented by a distribution over terms.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.clustering.LDAModel.vocabSize">
<tt class="descname">vocabSize</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/clustering.html#LDAModel.vocabSize"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.clustering.LDAModel.vocabSize" title="Permalink to this definition"></a></dt>
<dd><p>Vocabulary size (number of terms or terms in the vocabulary)</p>
</dd></dl>
</dd></dl>
</div>
<div class="section" id="module-pyspark.mllib.evaluation">
<span id="pyspark-mllib-evaluation-module"></span><h2>pyspark.mllib.evaluation module<a class="headerlink" href="#module-pyspark.mllib.evaluation" title="Permalink to this headline"></a></h2>
<dl class="class">
<dt id="pyspark.mllib.evaluation.BinaryClassificationMetrics">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.evaluation.</tt><tt class="descname">BinaryClassificationMetrics</tt><big>(</big><em>scoreAndLabels</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#BinaryClassificationMetrics"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.BinaryClassificationMetrics" title="Permalink to this definition"></a></dt>
<dd><p>Evaluator for binary classification.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>scoreAndLabels</strong> &#8211; an RDD of (score, label) pairs</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">scoreAndLabels</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span>
<span class="gp">... </span> <span class="p">(</span><span class="mf">0.1</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span> <span class="p">(</span><span class="mf">0.1</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mf">0.4</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span> <span class="p">(</span><span class="mf">0.6</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span> <span class="p">(</span><span class="mf">0.6</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mf">0.6</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mf">0.8</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">)],</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span> <span class="o">=</span> <span class="n">BinaryClassificationMetrics</span><span class="p">(</span><span class="n">scoreAndLabels</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">areaUnderROC</span>
<span class="go">0.70...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">areaUnderPR</span>
<span class="go">0.83...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">unpersist</span><span class="p">()</span>
</pre></div>
</div>
<dl class="attribute">
<dt id="pyspark.mllib.evaluation.BinaryClassificationMetrics.areaUnderPR">
<tt class="descname">areaUnderPR</tt><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#BinaryClassificationMetrics.areaUnderPR"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.BinaryClassificationMetrics.areaUnderPR" title="Permalink to this definition"></a></dt>
<dd><p>Computes the area under the precision-recall curve.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.evaluation.BinaryClassificationMetrics.areaUnderROC">
<tt class="descname">areaUnderROC</tt><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#BinaryClassificationMetrics.areaUnderROC"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.BinaryClassificationMetrics.areaUnderROC" title="Permalink to this definition"></a></dt>
<dd><p>Computes the area under the receiver operating characteristic
(ROC) curve.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.evaluation.BinaryClassificationMetrics.unpersist">
<tt class="descname">unpersist</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#BinaryClassificationMetrics.unpersist"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.BinaryClassificationMetrics.unpersist" title="Permalink to this definition"></a></dt>
<dd><p>Unpersists intermediate RDDs used in the computation.</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.evaluation.RegressionMetrics">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.evaluation.</tt><tt class="descname">RegressionMetrics</tt><big>(</big><em>predictionAndObservations</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#RegressionMetrics"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.RegressionMetrics" title="Permalink to this definition"></a></dt>
<dd><p>Evaluator for regression.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>predictionAndObservations</strong> &#8211; an RDD of (prediction,
observation) pairs.</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">predictionAndObservations</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span>
<span class="gp">... </span> <span class="p">(</span><span class="mf">2.5</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">),</span> <span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.5</span><span class="p">),</span> <span class="p">(</span><span class="mf">2.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">),</span> <span class="p">(</span><span class="mf">8.0</span><span class="p">,</span> <span class="mf">7.0</span><span class="p">)])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span> <span class="o">=</span> <span class="n">RegressionMetrics</span><span class="p">(</span><span class="n">predictionAndObservations</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">explainedVariance</span>
<span class="go">8.859...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">meanAbsoluteError</span>
<span class="go">0.5...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">meanSquaredError</span>
<span class="go">0.37...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">rootMeanSquaredError</span>
<span class="go">0.61...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">r2</span>
<span class="go">0.94...</span>
</pre></div>
</div>
<dl class="attribute">
<dt id="pyspark.mllib.evaluation.RegressionMetrics.explainedVariance">
<tt class="descname">explainedVariance</tt><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#RegressionMetrics.explainedVariance"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.RegressionMetrics.explainedVariance" title="Permalink to this definition"></a></dt>
<dd><p>Returns the explained variance regression score.
explainedVariance = 1 - variance(y - hat{y}) / variance(y)</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.evaluation.RegressionMetrics.meanAbsoluteError">
<tt class="descname">meanAbsoluteError</tt><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#RegressionMetrics.meanAbsoluteError"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.RegressionMetrics.meanAbsoluteError" title="Permalink to this definition"></a></dt>
<dd><p>Returns the mean absolute error, which is a risk function corresponding to the
expected value of the absolute error loss or l1-norm loss.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.evaluation.RegressionMetrics.meanSquaredError">
<tt class="descname">meanSquaredError</tt><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#RegressionMetrics.meanSquaredError"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.RegressionMetrics.meanSquaredError" title="Permalink to this definition"></a></dt>
<dd><p>Returns the mean squared error, which is a risk function corresponding to the
expected value of the squared error loss or quadratic loss.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.evaluation.RegressionMetrics.r2">
<tt class="descname">r2</tt><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#RegressionMetrics.r2"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.RegressionMetrics.r2" title="Permalink to this definition"></a></dt>
<dd><p>Returns R^2^, the coefficient of determination.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.evaluation.RegressionMetrics.rootMeanSquaredError">
<tt class="descname">rootMeanSquaredError</tt><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#RegressionMetrics.rootMeanSquaredError"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.RegressionMetrics.rootMeanSquaredError" title="Permalink to this definition"></a></dt>
<dd><p>Returns the root mean squared error, which is defined as the square root of
the mean squared error.</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.evaluation.MulticlassMetrics">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.evaluation.</tt><tt class="descname">MulticlassMetrics</tt><big>(</big><em>predictionAndLabels</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#MulticlassMetrics"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.MulticlassMetrics" title="Permalink to this definition"></a></dt>
<dd><p>Evaluator for multiclass classification.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>predictionAndLabels</strong> &#8211; an RDD of (prediction, label) pairs.</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">predictionAndLabels</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([(</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span> <span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span>
<span class="gp">... </span> <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">),</span> <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mf">2.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">),</span> <span class="p">(</span><span class="mf">2.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">)])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span> <span class="o">=</span> <span class="n">MulticlassMetrics</span><span class="p">(</span><span class="n">predictionAndLabels</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">confusionMatrix</span><span class="p">()</span><span class="o">.</span><span class="n">toArray</span><span class="p">()</span>
<span class="go">array([[ 2., 1., 1.],</span>
<span class="go"> [ 1., 3., 0.],</span>
<span class="go"> [ 0., 0., 1.]])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">falsePositiveRate</span><span class="p">(</span><span class="mf">0.0</span><span class="p">)</span>
<span class="go">0.2...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">precision</span><span class="p">(</span><span class="mf">1.0</span><span class="p">)</span>
<span class="go">0.75...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">recall</span><span class="p">(</span><span class="mf">2.0</span><span class="p">)</span>
<span class="go">1.0...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">fMeasure</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">)</span>
<span class="go">0.52...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">precision</span><span class="p">()</span>
<span class="go">0.66...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">recall</span><span class="p">()</span>
<span class="go">0.66...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">weightedFalsePositiveRate</span>
<span class="go">0.19...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">weightedPrecision</span>
<span class="go">0.68...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">weightedRecall</span>
<span class="go">0.66...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">weightedFMeasure</span><span class="p">()</span>
<span class="go">0.66...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">weightedFMeasure</span><span class="p">(</span><span class="mf">2.0</span><span class="p">)</span>
<span class="go">0.65...</span>
</pre></div>
</div>
<dl class="method">
<dt id="pyspark.mllib.evaluation.MulticlassMetrics.confusionMatrix">
<tt class="descname">confusionMatrix</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#MulticlassMetrics.confusionMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.MulticlassMetrics.confusionMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Returns confusion matrix: predicted classes are in columns,
they are ordered by class label ascending, as in &#8220;labels&#8221;.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.evaluation.MulticlassMetrics.fMeasure">
<tt class="descname">fMeasure</tt><big>(</big><em>label=None</em>, <em>beta=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#MulticlassMetrics.fMeasure"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.MulticlassMetrics.fMeasure" title="Permalink to this definition"></a></dt>
<dd><p>Returns f-measure or f-measure for a given label (category) if specified.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.evaluation.MulticlassMetrics.falsePositiveRate">
<tt class="descname">falsePositiveRate</tt><big>(</big><em>label</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#MulticlassMetrics.falsePositiveRate"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.MulticlassMetrics.falsePositiveRate" title="Permalink to this definition"></a></dt>
<dd><p>Returns false positive rate for a given label (category).</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.evaluation.MulticlassMetrics.precision">
<tt class="descname">precision</tt><big>(</big><em>label=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#MulticlassMetrics.precision"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.MulticlassMetrics.precision" title="Permalink to this definition"></a></dt>
<dd><p>Returns precision or precision for a given label (category) if specified.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.evaluation.MulticlassMetrics.recall">
<tt class="descname">recall</tt><big>(</big><em>label=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#MulticlassMetrics.recall"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.MulticlassMetrics.recall" title="Permalink to this definition"></a></dt>
<dd><p>Returns recall or recall for a given label (category) if specified.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.evaluation.MulticlassMetrics.truePositiveRate">
<tt class="descname">truePositiveRate</tt><big>(</big><em>label</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#MulticlassMetrics.truePositiveRate"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.MulticlassMetrics.truePositiveRate" title="Permalink to this definition"></a></dt>
<dd><p>Returns true positive rate for a given label (category).</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.evaluation.MulticlassMetrics.weightedFMeasure">
<tt class="descname">weightedFMeasure</tt><big>(</big><em>beta=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#MulticlassMetrics.weightedFMeasure"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.MulticlassMetrics.weightedFMeasure" title="Permalink to this definition"></a></dt>
<dd><p>Returns weighted averaged f-measure.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.evaluation.MulticlassMetrics.weightedFalsePositiveRate">
<tt class="descname">weightedFalsePositiveRate</tt><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#MulticlassMetrics.weightedFalsePositiveRate"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.MulticlassMetrics.weightedFalsePositiveRate" title="Permalink to this definition"></a></dt>
<dd><p>Returns weighted false positive rate.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.evaluation.MulticlassMetrics.weightedPrecision">
<tt class="descname">weightedPrecision</tt><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#MulticlassMetrics.weightedPrecision"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.MulticlassMetrics.weightedPrecision" title="Permalink to this definition"></a></dt>
<dd><p>Returns weighted averaged precision.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.evaluation.MulticlassMetrics.weightedRecall">
<tt class="descname">weightedRecall</tt><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#MulticlassMetrics.weightedRecall"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.MulticlassMetrics.weightedRecall" title="Permalink to this definition"></a></dt>
<dd><p>Returns weighted averaged recall.
(equals to precision, recall and f-measure)</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.evaluation.MulticlassMetrics.weightedTruePositiveRate">
<tt class="descname">weightedTruePositiveRate</tt><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#MulticlassMetrics.weightedTruePositiveRate"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.MulticlassMetrics.weightedTruePositiveRate" title="Permalink to this definition"></a></dt>
<dd><p>Returns weighted true positive rate.
(equals to precision, recall and f-measure)</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.evaluation.RankingMetrics">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.evaluation.</tt><tt class="descname">RankingMetrics</tt><big>(</big><em>predictionAndLabels</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#RankingMetrics"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.RankingMetrics" title="Permalink to this definition"></a></dt>
<dd><p>Evaluator for ranking algorithms.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>predictionAndLabels</strong> &#8211; an RDD of (predicted ranking,
ground truth set) pairs.</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">predictionAndLabels</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span>
<span class="gp">... </span> <span class="p">([</span><span class="mi">1</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">],</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">]),</span>
<span class="gp">... </span> <span class="p">([</span><span class="mi">4</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">],</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">]),</span>
<span class="gp">... </span> <span class="p">([</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">],</span> <span class="p">[])])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span> <span class="o">=</span> <span class="n">RankingMetrics</span><span class="p">(</span><span class="n">predictionAndLabels</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">precisionAt</span><span class="p">(</span><span class="mi">1</span><span class="p">)</span>
<span class="go">0.33...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">precisionAt</span><span class="p">(</span><span class="mi">5</span><span class="p">)</span>
<span class="go">0.26...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">precisionAt</span><span class="p">(</span><span class="mi">15</span><span class="p">)</span>
<span class="go">0.17...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">meanAveragePrecision</span>
<span class="go">0.35...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">ndcgAt</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>
<span class="go">0.33...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">metrics</span><span class="o">.</span><span class="n">ndcgAt</span><span class="p">(</span><span class="mi">10</span><span class="p">)</span>
<span class="go">0.48...</span>
</pre></div>
</div>
<dl class="attribute">
<dt id="pyspark.mllib.evaluation.RankingMetrics.meanAveragePrecision">
<tt class="descname">meanAveragePrecision</tt><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#RankingMetrics.meanAveragePrecision"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.RankingMetrics.meanAveragePrecision" title="Permalink to this definition"></a></dt>
<dd><p>Returns the mean average precision (MAP) of all the queries.
If a query has an empty ground truth set, the average precision will be zero and
a log warining is generated.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.evaluation.RankingMetrics.ndcgAt">
<tt class="descname">ndcgAt</tt><big>(</big><em>k</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#RankingMetrics.ndcgAt"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.RankingMetrics.ndcgAt" title="Permalink to this definition"></a></dt>
<dd><p>Compute the average NDCG value of all the queries, truncated at ranking position k.
The discounted cumulative gain at position k is computed as:
sum,,i=1,,^k^ (2^{relevance of &#8216;&#8217;i&#8217;&#8216;th item}^ - 1) / log(i + 1),
and the NDCG is obtained by dividing the DCG value on the ground truth set.
In the current implementation, the relevance value is binary.
If a query has an empty ground truth set, zero will be used as NDCG together with
a log warning.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.evaluation.RankingMetrics.precisionAt">
<tt class="descname">precisionAt</tt><big>(</big><em>k</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/evaluation.html#RankingMetrics.precisionAt"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.evaluation.RankingMetrics.precisionAt" title="Permalink to this definition"></a></dt>
<dd><p>Compute the average precision of all the queries, truncated at ranking position k.</p>
<p>If for a query, the ranking algorithm returns n (n &lt; k) results, the precision value
will be computed as #(relevant items retrieved) / k. This formula also applies when
the size of the ground truth set is less than k.</p>
<p>If a query has an empty ground truth set, zero will be used as precision together
with a log warning.</p>
</dd></dl>
</dd></dl>
</div>
<div class="section" id="module-pyspark.mllib.feature">
<span id="pyspark-mllib-feature-module"></span><h2>pyspark.mllib.feature module<a class="headerlink" href="#module-pyspark.mllib.feature" title="Permalink to this headline"></a></h2>
<p>Python package for feature in MLlib.</p>
<dl class="class">
<dt id="pyspark.mllib.feature.Normalizer">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.feature.</tt><tt class="descname">Normalizer</tt><big>(</big><em>p=2.0</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#Normalizer"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.Normalizer" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.feature.VectorTransformer</span></tt></p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Normalizes samples individually to unit L<sup>p</sup> norm</p>
<p>For any 1 &lt;= <cite>p</cite> &lt; float(&#8216;inf&#8217;), normalizes samples using
sum(abs(vector) <sup>p</sup>) <sup>(1/p)</sup> as norm.</p>
<p>For <cite>p</cite> = float(&#8216;inf&#8217;), max(abs(vector)) will be used as norm for
normalization.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>p</strong> &#8211; Normalization in L^p^ space, p = 2 by default.</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">v</span> <span class="o">=</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="mi">3</span><span class="p">))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">nor</span> <span class="o">=</span> <span class="n">Normalizer</span><span class="p">(</span><span class="mi">1</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">nor</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">v</span><span class="p">)</span>
<span class="go">DenseVector([0.0, 0.3333, 0.6667])</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">v</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">nor</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">rdd</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[DenseVector([0.0, 0.3333, 0.6667])]</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">nor2</span> <span class="o">=</span> <span class="n">Normalizer</span><span class="p">(</span><span class="nb">float</span><span class="p">(</span><span class="s">&quot;inf&quot;</span><span class="p">))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">nor2</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">v</span><span class="p">)</span>
<span class="go">DenseVector([0.0, 0.5, 1.0])</span>
</pre></div>
</div>
<dl class="method">
<dt id="pyspark.mllib.feature.Normalizer.transform">
<tt class="descname">transform</tt><big>(</big><em>vector</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#Normalizer.transform"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.Normalizer.transform" title="Permalink to this definition"></a></dt>
<dd><p>Applies unit length normalization on a vector.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>vector</strong> &#8211; vector or RDD of vector to be normalized.</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">normalized vector. If the norm of the input is zero, it
will return the input vector.</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.feature.StandardScalerModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.feature.</tt><tt class="descname">StandardScalerModel</tt><big>(</big><em>java_model</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#StandardScalerModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.StandardScalerModel" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.feature.JavaVectorTransformer</span></tt></p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Represents a StandardScaler model that can transform vectors.</p>
<dl class="method">
<dt id="pyspark.mllib.feature.StandardScalerModel.setWithMean">
<tt class="descname">setWithMean</tt><big>(</big><em>withMean</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#StandardScalerModel.setWithMean"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.StandardScalerModel.setWithMean" title="Permalink to this definition"></a></dt>
<dd><p>Setter of the boolean which decides
whether it uses mean or not</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.feature.StandardScalerModel.setWithStd">
<tt class="descname">setWithStd</tt><big>(</big><em>withStd</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#StandardScalerModel.setWithStd"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.StandardScalerModel.setWithStd" title="Permalink to this definition"></a></dt>
<dd><p>Setter of the boolean which decides
whether it uses std or not</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.feature.StandardScalerModel.transform">
<tt class="descname">transform</tt><big>(</big><em>vector</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#StandardScalerModel.transform"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.StandardScalerModel.transform" title="Permalink to this definition"></a></dt>
<dd><p>Applies standardization transformation on a vector.</p>
<dl class="docutils">
<dt>Note: In Python, transform cannot currently be used within</dt>
<dd>an RDD transformation or action.
Call transform directly on the RDD instead.</dd>
</dl>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>vector</strong> &#8211; Vector or RDD of Vector to be standardized.</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">Standardized vector. If the variance of a column is
zero, it will return default <cite>0.0</cite> for the column with
zero variance.</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.feature.StandardScaler">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.feature.</tt><tt class="descname">StandardScaler</tt><big>(</big><em>withMean=False</em>, <em>withStd=True</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#StandardScaler"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.StandardScaler" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Standardizes features by removing the mean and scaling to unit
variance using column summary statistics on the samples in the
training set.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>withMean</strong> &#8211; False by default. Centers the data with mean
before scaling. It will build a dense output, so this
does not work on sparse input and will raise an
exception.</li>
<li><strong>withStd</strong> &#8211; True by default. Scales the data to unit
standard deviation.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">vs</span> <span class="o">=</span> <span class="p">[</span><span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="o">-</span><span class="mf">2.0</span><span class="p">,</span> <span class="mf">2.3</span><span class="p">,</span> <span class="mi">0</span><span class="p">]),</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">3.8</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.9</span><span class="p">])]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dataset</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">vs</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">standardizer</span> <span class="o">=</span> <span class="n">StandardScaler</span><span class="p">(</span><span class="bp">True</span><span class="p">,</span> <span class="bp">True</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">standardizer</span><span class="o">.</span><span class="n">fit</span><span class="p">(</span><span class="n">dataset</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">result</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">dataset</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">for</span> <span class="n">r</span> <span class="ow">in</span> <span class="n">result</span><span class="o">.</span><span class="n">collect</span><span class="p">():</span> <span class="n">r</span>
<span class="go">DenseVector([-0.7071, 0.7071, -0.7071])</span>
<span class="go">DenseVector([0.7071, -0.7071, 0.7071])</span>
</pre></div>
</div>
<dl class="method">
<dt id="pyspark.mllib.feature.StandardScaler.fit">
<tt class="descname">fit</tt><big>(</big><em>dataset</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#StandardScaler.fit"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.StandardScaler.fit" title="Permalink to this definition"></a></dt>
<dd><p>Computes the mean and variance and stores as a model to be used
for later scaling.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>dataset</strong> &#8211; The data used to compute the mean and variance
to build the transformation model.</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">a StandardScalarModel</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.feature.HashingTF">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.feature.</tt><tt class="descname">HashingTF</tt><big>(</big><em>numFeatures=1048576</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#HashingTF"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.HashingTF" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Maps a sequence of terms to their term frequencies using the hashing
trick.</p>
<p>Note: the terms must be hashable (can not be dict/set/list...).</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>numFeatures</strong> &#8211; number of features (default: 2^20)</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">htf</span> <span class="o">=</span> <span class="n">HashingTF</span><span class="p">(</span><span class="mi">100</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">doc</span> <span class="o">=</span> <span class="s">&quot;a a b b c d&quot;</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s">&quot; &quot;</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">htf</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">doc</span><span class="p">)</span>
<span class="go">SparseVector(100, {...})</span>
</pre></div>
</div>
<dl class="method">
<dt id="pyspark.mllib.feature.HashingTF.indexOf">
<tt class="descname">indexOf</tt><big>(</big><em>term</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#HashingTF.indexOf"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.HashingTF.indexOf" title="Permalink to this definition"></a></dt>
<dd><p>Returns the index of the input term.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.feature.HashingTF.transform">
<tt class="descname">transform</tt><big>(</big><em>document</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#HashingTF.transform"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.HashingTF.transform" title="Permalink to this definition"></a></dt>
<dd><p>Transforms the input document (list of terms) to term frequency
vectors, or transform the RDD of document to RDD of term
frequency vectors.</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.feature.IDFModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.feature.</tt><tt class="descname">IDFModel</tt><big>(</big><em>java_model</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#IDFModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.IDFModel" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.feature.JavaVectorTransformer</span></tt></p>
<p>Represents an IDF model that can transform term frequency vectors.</p>
<dl class="method">
<dt id="pyspark.mllib.feature.IDFModel.idf">
<tt class="descname">idf</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#IDFModel.idf"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.IDFModel.idf" title="Permalink to this definition"></a></dt>
<dd><p>Returns the current IDF vector.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.feature.IDFModel.transform">
<tt class="descname">transform</tt><big>(</big><em>x</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#IDFModel.transform"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.IDFModel.transform" title="Permalink to this definition"></a></dt>
<dd><p>Transforms term frequency (TF) vectors to TF-IDF vectors.</p>
<p>If <cite>minDocFreq</cite> was set for the IDF calculation,
the terms which occur in fewer than <cite>minDocFreq</cite>
documents will have an entry of 0.</p>
<dl class="docutils">
<dt>Note: In Python, transform cannot currently be used within</dt>
<dd>an RDD transformation or action.
Call transform directly on the RDD instead.</dd>
</dl>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>x</strong> &#8211; an RDD of term frequency vectors or a term frequency
vector</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">an RDD of TF-IDF vectors or a TF-IDF vector</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.feature.IDF">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.feature.</tt><tt class="descname">IDF</tt><big>(</big><em>minDocFreq=0</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#IDF"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.IDF" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Inverse document frequency (IDF).</p>
<p>The standard formulation is used: <cite>idf = log((m + 1) / (d(t) + 1))</cite>,
where <cite>m</cite> is the total number of documents and <cite>d(t)</cite> is the number
of documents that contain term <cite>t</cite>.</p>
<p>This implementation supports filtering out terms which do not appear
in a minimum number of documents (controlled by the variable
<cite>minDocFreq</cite>). For terms that are not in at least <cite>minDocFreq</cite>
documents, the IDF is found as 0, resulting in TF-IDFs of 0.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>minDocFreq</strong> &#8211; minimum of documents in which a term
should appear for filtering</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">n</span> <span class="o">=</span> <span class="mi">4</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">freqs</span> <span class="o">=</span> <span class="p">[</span><span class="n">Vectors</span><span class="o">.</span><span class="n">sparse</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">),</span> <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">)),</span>
<span class="gp">... </span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">Vectors</span><span class="o">.</span><span class="n">sparse</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">])]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">freqs</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">idf</span> <span class="o">=</span> <span class="n">IDF</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">idf</span><span class="o">.</span><span class="n">fit</span><span class="p">(</span><span class="n">data</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">tfidf</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">data</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">for</span> <span class="n">r</span> <span class="ow">in</span> <span class="n">tfidf</span><span class="o">.</span><span class="n">collect</span><span class="p">():</span> <span class="n">r</span>
<span class="go">SparseVector(4, {1: 0.0, 3: 0.5754})</span>
<span class="go">DenseVector([0.0, 0.0, 1.3863, 0.863])</span>
<span class="go">SparseVector(4, {1: 0.0})</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">]))</span>
<span class="go">DenseVector([0.0, 0.0, 1.3863, 0.863])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">transform</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">])</span>
<span class="go">DenseVector([0.0, 0.0, 1.3863, 0.863])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">Vectors</span><span class="o">.</span><span class="n">sparse</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">),</span> <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">)))</span>
<span class="go">SparseVector(4, {1: 0.0, 3: 0.5754})</span>
</pre></div>
</div>
<dl class="method">
<dt id="pyspark.mllib.feature.IDF.fit">
<tt class="descname">fit</tt><big>(</big><em>dataset</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#IDF.fit"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.IDF.fit" title="Permalink to this definition"></a></dt>
<dd><p>Computes the inverse document frequency.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>dataset</strong> &#8211; an RDD of term frequency vectors</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.feature.Word2Vec">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.feature.</tt><tt class="descname">Word2Vec</tt><a class="reference internal" href="_modules/pyspark/mllib/feature.html#Word2Vec"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.Word2Vec" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></p>
<p>Word2Vec creates vector representation of words in a text corpus.
The algorithm first constructs a vocabulary from the corpus
and then learns vector representation of words in the vocabulary.
The vector representation can be used as features in
natural language processing and machine learning algorithms.</p>
<p>We used skip-gram model in our implementation and hierarchical
softmax method to train the model. The variable names in the
implementation matches the original C implementation.</p>
<p>For original C implementation,
see <a class="reference external" href="https://code.google.com/p/word2vec/">https://code.google.com/p/word2vec/</a>
For research papers, see
Efficient Estimation of Word Representations in Vector Space
and Distributed Representations of Words and Phrases and their
Compositionality.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">sentence</span> <span class="o">=</span> <span class="s">&quot;a b &quot;</span> <span class="o">*</span> <span class="mi">100</span> <span class="o">+</span> <span class="s">&quot;a c &quot;</span> <span class="o">*</span> <span class="mi">10</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">localDoc</span> <span class="o">=</span> <span class="p">[</span><span class="n">sentence</span><span class="p">,</span> <span class="n">sentence</span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">doc</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">localDoc</span><span class="p">)</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">line</span><span class="p">:</span> <span class="n">line</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s">&quot; &quot;</span><span class="p">))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">Word2Vec</span><span class="p">()</span><span class="o">.</span><span class="n">setVectorSize</span><span class="p">(</span><span class="mi">10</span><span class="p">)</span><span class="o">.</span><span class="n">setSeed</span><span class="p">(</span><span class="mi">42</span><span class="p">)</span><span class="o">.</span><span class="n">fit</span><span class="p">(</span><span class="n">doc</span><span class="p">)</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">syms</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">findSynonyms</span><span class="p">(</span><span class="s">&quot;a&quot;</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="p">[</span><span class="n">s</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="k">for</span> <span class="n">s</span> <span class="ow">in</span> <span class="n">syms</span><span class="p">]</span>
<span class="go">[u&#39;b&#39;, u&#39;c&#39;]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">vec</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="s">&quot;a&quot;</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">syms</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">findSynonyms</span><span class="p">(</span><span class="n">vec</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="p">[</span><span class="n">s</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="k">for</span> <span class="n">s</span> <span class="ow">in</span> <span class="n">syms</span><span class="p">]</span>
<span class="go">[u&#39;b&#39;, u&#39;c&#39;]</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">os</span><span class="o">,</span> <span class="nn">tempfile</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">path</span> <span class="o">=</span> <span class="n">tempfile</span><span class="o">.</span><span class="n">mkdtemp</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span> <span class="o">=</span> <span class="n">Word2VecModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="s">&quot;a&quot;</span><span class="p">)</span> <span class="o">==</span> <span class="n">sameModel</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="s">&quot;a&quot;</span><span class="p">)</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">shutil</span> <span class="kn">import</span> <span class="n">rmtree</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">try</span><span class="p">:</span>
<span class="gp">... </span> <span class="n">rmtree</span><span class="p">(</span><span class="n">path</span><span class="p">)</span>
<span class="gp">... </span><span class="k">except</span> <span class="ne">OSError</span><span class="p">:</span>
<span class="gp">... </span> <span class="k">pass</span>
</pre></div>
</div>
<dl class="method">
<dt id="pyspark.mllib.feature.Word2Vec.fit">
<tt class="descname">fit</tt><big>(</big><em>data</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#Word2Vec.fit"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.Word2Vec.fit" title="Permalink to this definition"></a></dt>
<dd><p>Computes the vector representation of each word in vocabulary.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>data</strong> &#8211; training data. RDD of list of string</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">Word2VecModel instance</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.feature.Word2Vec.setLearningRate">
<tt class="descname">setLearningRate</tt><big>(</big><em>learningRate</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#Word2Vec.setLearningRate"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.Word2Vec.setLearningRate" title="Permalink to this definition"></a></dt>
<dd><p>Sets initial learning rate (default: 0.025).</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.feature.Word2Vec.setMinCount">
<tt class="descname">setMinCount</tt><big>(</big><em>minCount</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#Word2Vec.setMinCount"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.Word2Vec.setMinCount" title="Permalink to this definition"></a></dt>
<dd><p>Sets minCount, the minimum number of times a token must appear
to be included in the word2vec model&#8217;s vocabulary (default: 5).</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.feature.Word2Vec.setNumIterations">
<tt class="descname">setNumIterations</tt><big>(</big><em>numIterations</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#Word2Vec.setNumIterations"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.Word2Vec.setNumIterations" title="Permalink to this definition"></a></dt>
<dd><p>Sets number of iterations (default: 1), which should be smaller
than or equal to number of partitions.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.feature.Word2Vec.setNumPartitions">
<tt class="descname">setNumPartitions</tt><big>(</big><em>numPartitions</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#Word2Vec.setNumPartitions"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.Word2Vec.setNumPartitions" title="Permalink to this definition"></a></dt>
<dd><p>Sets number of partitions (default: 1). Use a small number for
accuracy.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.feature.Word2Vec.setSeed">
<tt class="descname">setSeed</tt><big>(</big><em>seed</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#Word2Vec.setSeed"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.Word2Vec.setSeed" title="Permalink to this definition"></a></dt>
<dd><p>Sets random seed.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.feature.Word2Vec.setVectorSize">
<tt class="descname">setVectorSize</tt><big>(</big><em>vectorSize</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#Word2Vec.setVectorSize"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.Word2Vec.setVectorSize" title="Permalink to this definition"></a></dt>
<dd><p>Sets vector size (default: 100).</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.feature.Word2VecModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.feature.</tt><tt class="descname">Word2VecModel</tt><big>(</big><em>java_model</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#Word2VecModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.Word2VecModel" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.feature.JavaVectorTransformer</span></tt>, <a class="reference internal" href="#pyspark.mllib.util.JavaSaveable" title="pyspark.mllib.util.JavaSaveable"><tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.util.JavaSaveable</span></tt></a>, <a class="reference internal" href="#pyspark.mllib.util.JavaLoader" title="pyspark.mllib.util.JavaLoader"><tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.util.JavaLoader</span></tt></a></p>
<p>class for Word2Vec model</p>
<dl class="method">
<dt id="pyspark.mllib.feature.Word2VecModel.findSynonyms">
<tt class="descname">findSynonyms</tt><big>(</big><em>word</em>, <em>num</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#Word2VecModel.findSynonyms"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.Word2VecModel.findSynonyms" title="Permalink to this definition"></a></dt>
<dd><p>Find synonyms of a word</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>word</strong> &#8211; a word or a vector representation of word</li>
<li><strong>num</strong> &#8211; number of synonyms to find</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">array of (word, cosineSimilarity)</p>
</td>
</tr>
</tbody>
</table>
<p>Note: local use only</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.feature.Word2VecModel.getVectors">
<tt class="descname">getVectors</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#Word2VecModel.getVectors"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.Word2VecModel.getVectors" title="Permalink to this definition"></a></dt>
<dd><p>Returns a map of words to their vector representations.</p>
</dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.feature.Word2VecModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#Word2VecModel.load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.Word2VecModel.load" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.feature.Word2VecModel.transform">
<tt class="descname">transform</tt><big>(</big><em>word</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#Word2VecModel.transform"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.Word2VecModel.transform" title="Permalink to this definition"></a></dt>
<dd><p>Transforms a word to its vector representation</p>
<p>Note: local use only</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>word</strong> &#8211; a word</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">vector representation of word(s)</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.feature.ChiSqSelector">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.feature.</tt><tt class="descname">ChiSqSelector</tt><big>(</big><em>numTopFeatures</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#ChiSqSelector"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.ChiSqSelector" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Creates a ChiSquared feature selector.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>numTopFeatures</strong> &#8211; number of features that selector will select.</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">8.0</span><span class="p">,</span> <span class="mi">1</span><span class="p">:</span> <span class="mf">7.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">9.0</span><span class="p">,</span> <span class="mi">2</span><span class="p">:</span> <span class="mf">6.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">9.0</span><span class="p">,</span> <span class="mf">8.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">2.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">8.0</span><span class="p">,</span> <span class="mf">9.0</span><span class="p">,</span> <span class="mf">5.0</span><span class="p">])</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">ChiSqSelector</span><span class="p">(</span><span class="mi">1</span><span class="p">)</span><span class="o">.</span><span class="n">fit</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">9.0</span><span class="p">,</span> <span class="mi">2</span><span class="p">:</span> <span class="mf">6.0</span><span class="p">}))</span>
<span class="go">SparseVector(1, {0: 6.0})</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">DenseVector</span><span class="p">([</span><span class="mf">8.0</span><span class="p">,</span> <span class="mf">9.0</span><span class="p">,</span> <span class="mf">5.0</span><span class="p">]))</span>
<span class="go">DenseVector([5.0])</span>
</pre></div>
</div>
<dl class="method">
<dt id="pyspark.mllib.feature.ChiSqSelector.fit">
<tt class="descname">fit</tt><big>(</big><em>data</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#ChiSqSelector.fit"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.ChiSqSelector.fit" title="Permalink to this definition"></a></dt>
<dd><p>Returns a ChiSquared feature selector.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>data</strong> &#8211; an <cite>RDD[LabeledPoint]</cite> containing the labeled dataset
with categorical features. Real-valued features will be
treated as categorical for each distinct value.
Apply feature discretizer before using this function.</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.feature.ChiSqSelectorModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.feature.</tt><tt class="descname">ChiSqSelectorModel</tt><big>(</big><em>java_model</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#ChiSqSelectorModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.ChiSqSelectorModel" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.feature.JavaVectorTransformer</span></tt></p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Represents a Chi Squared selector model.</p>
<dl class="method">
<dt id="pyspark.mllib.feature.ChiSqSelectorModel.transform">
<tt class="descname">transform</tt><big>(</big><em>vector</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#ChiSqSelectorModel.transform"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.ChiSqSelectorModel.transform" title="Permalink to this definition"></a></dt>
<dd><p>Applies transformation on a vector.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>vector</strong> &#8211; Vector or RDD of Vector to be transformed.</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">transformed vector.</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.feature.ElementwiseProduct">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.feature.</tt><tt class="descname">ElementwiseProduct</tt><big>(</big><em>scalingVector</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#ElementwiseProduct"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.ElementwiseProduct" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.feature.VectorTransformer</span></tt></p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Scales each column of the vector, with the supplied weight vector.
i.e the elementwise product.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">weight</span> <span class="o">=</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">eprod</span> <span class="o">=</span> <span class="n">ElementwiseProduct</span><span class="p">(</span><span class="n">weight</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span> <span class="o">=</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">2.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">eprod</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="go">DenseVector([2.0, 2.0, 9.0])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">b</span> <span class="o">=</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">9.0</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">,</span> <span class="mf">4.0</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">eprod</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">rdd</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[DenseVector([2.0, 2.0, 9.0]), DenseVector([9.0, 6.0, 12.0])]</span>
</pre></div>
</div>
<dl class="method">
<dt id="pyspark.mllib.feature.ElementwiseProduct.transform">
<tt class="descname">transform</tt><big>(</big><em>vector</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/feature.html#ElementwiseProduct.transform"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.feature.ElementwiseProduct.transform" title="Permalink to this definition"></a></dt>
<dd><p>Computes the Hadamard product of the vector.</p>
</dd></dl>
</dd></dl>
</div>
<div class="section" id="module-pyspark.mllib.fpm">
<span id="pyspark-mllib-fpm-module"></span><h2>pyspark.mllib.fpm module<a class="headerlink" href="#module-pyspark.mllib.fpm" title="Permalink to this headline"></a></h2>
<dl class="class">
<dt id="pyspark.mllib.fpm.FPGrowth">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.fpm.</tt><tt class="descname">FPGrowth</tt><a class="reference internal" href="_modules/pyspark/mllib/fpm.html#FPGrowth"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.fpm.FPGrowth" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>A Parallel FP-growth algorithm to mine frequent itemsets.</p>
<dl class="class">
<dt id="pyspark.mllib.fpm.FPGrowth.FreqItemset">
<em class="property">class </em><tt class="descname">FreqItemset</tt><a class="reference internal" href="_modules/pyspark/mllib/fpm.html#FPGrowth.FreqItemset"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.fpm.FPGrowth.FreqItemset" title="Permalink to this definition"></a></dt>
<dd><p>Represents an (items, freq) tuple.</p>
</dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.fpm.FPGrowth.train">
<em class="property">classmethod </em><tt class="descclassname">FPGrowth.</tt><tt class="descname">train</tt><big>(</big><em>data</em>, <em>minSupport=0.3</em>, <em>numPartitions=-1</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/fpm.html#FPGrowth.train"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.fpm.FPGrowth.train" title="Permalink to this definition"></a></dt>
<dd><p>Computes an FP-Growth model that contains frequent itemsets.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>data</strong> &#8211; The input data set, each element contains a
transaction.</li>
<li><strong>minSupport</strong> &#8211; The minimal support level (default: <cite>0.3</cite>).</li>
<li><strong>numPartitions</strong> &#8211; The number of partitions used by
parallel FP-growth (default: same as input data).</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.fpm.FPGrowthModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.fpm.</tt><tt class="descname">FPGrowthModel</tt><big>(</big><em>java_model</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/fpm.html#FPGrowthModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.fpm.FPGrowthModel" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>A FP-Growth model for mining frequent itemsets
using the Parallel FP-Growth algorithm.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[[</span><span class="s">&quot;a&quot;</span><span class="p">,</span> <span class="s">&quot;b&quot;</span><span class="p">,</span> <span class="s">&quot;c&quot;</span><span class="p">],</span> <span class="p">[</span><span class="s">&quot;a&quot;</span><span class="p">,</span> <span class="s">&quot;b&quot;</span><span class="p">,</span> <span class="s">&quot;d&quot;</span><span class="p">,</span> <span class="s">&quot;e&quot;</span><span class="p">],</span> <span class="p">[</span><span class="s">&quot;a&quot;</span><span class="p">,</span> <span class="s">&quot;c&quot;</span><span class="p">,</span> <span class="s">&quot;e&quot;</span><span class="p">],</span> <span class="p">[</span><span class="s">&quot;a&quot;</span><span class="p">,</span> <span class="s">&quot;c&quot;</span><span class="p">,</span> <span class="s">&quot;f&quot;</span><span class="p">]]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">FPGrowth</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">rdd</span><span class="p">,</span> <span class="mf">0.6</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">sorted</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">freqItemsets</span><span class="p">()</span><span class="o">.</span><span class="n">collect</span><span class="p">())</span>
<span class="go">[FreqItemset(items=[u&#39;a&#39;], freq=4), FreqItemset(items=[u&#39;c&#39;], freq=3), ...</span>
</pre></div>
</div>
<dl class="method">
<dt id="pyspark.mllib.fpm.FPGrowthModel.freqItemsets">
<tt class="descname">freqItemsets</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/fpm.html#FPGrowthModel.freqItemsets"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.fpm.FPGrowthModel.freqItemsets" title="Permalink to this definition"></a></dt>
<dd><p>Returns the frequent itemsets of this model.</p>
</dd></dl>
</dd></dl>
</div>
<div class="section" id="module-pyspark.mllib.linalg">
<span id="pyspark-mllib-linalg-module"></span><h2>pyspark.mllib.linalg module<a class="headerlink" href="#module-pyspark.mllib.linalg" title="Permalink to this headline"></a></h2>
<p>MLlib utilities for linear algebra. For dense vectors, MLlib
uses the NumPy <tt class="xref py py-class docutils literal"><span class="pre">array</span></tt> type, so you can simply pass NumPy arrays
around. For sparse vectors, users can construct a <a class="reference internal" href="#pyspark.mllib.linalg.SparseVector" title="pyspark.mllib.linalg.SparseVector"><tt class="xref py py-class docutils literal"><span class="pre">SparseVector</span></tt></a>
object from MLlib or pass SciPy <tt class="xref py py-class docutils literal"><span class="pre">scipy.sparse</span></tt> column vectors if
SciPy is available in their environment.</p>
<dl class="class">
<dt id="pyspark.mllib.linalg.Vector">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.linalg.</tt><tt class="descname">Vector</tt><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#Vector"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.Vector" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></p>
<dl class="method">
<dt id="pyspark.mllib.linalg.Vector.toArray">
<tt class="descname">toArray</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#Vector.toArray"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.Vector.toArray" title="Permalink to this definition"></a></dt>
<dd><p>Convert the vector into an numpy.ndarray</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Returns:</th><td class="field-body">numpy.ndarray</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.linalg.DenseVector">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.linalg.</tt><tt class="descname">DenseVector</tt><big>(</big><em>ar</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#DenseVector"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.DenseVector" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pyspark.mllib.linalg.Vector" title="pyspark.mllib.linalg.Vector"><tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.linalg.Vector</span></tt></a></p>
<p>A dense vector represented by a value array. We use numpy array for
storage and arithmetics will be delegated to the underlying numpy
array.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">v</span> <span class="o">=</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">u</span> <span class="o">=</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">3.0</span><span class="p">,</span> <span class="mf">4.0</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">v</span> <span class="o">+</span> <span class="n">u</span>
<span class="go">DenseVector([4.0, 6.0])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="mi">2</span> <span class="o">-</span> <span class="n">v</span>
<span class="go">DenseVector([1.0, 0.0])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">v</span> <span class="o">/</span> <span class="mi">2</span>
<span class="go">DenseVector([0.5, 1.0])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">v</span> <span class="o">*</span> <span class="n">u</span>
<span class="go">DenseVector([3.0, 8.0])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">u</span> <span class="o">/</span> <span class="n">v</span>
<span class="go">DenseVector([3.0, 2.0])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">u</span> <span class="o">%</span> <span class="mi">2</span>
<span class="go">DenseVector([1.0, 0.0])</span>
</pre></div>
</div>
<dl class="method">
<dt id="pyspark.mllib.linalg.DenseVector.dot">
<tt class="descname">dot</tt><big>(</big><em>other</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#DenseVector.dot"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.DenseVector.dot" title="Permalink to this definition"></a></dt>
<dd><p>Compute the dot product of two Vectors. We support
(Numpy array, list, SparseVector, or SciPy sparse)
and a target NumPy array that is either 1- or 2-dimensional.
Equivalent to calling numpy.dot of the two vectors.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">dense</span> <span class="o">=</span> <span class="n">DenseVector</span><span class="p">(</span><span class="n">array</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="s">&#39;d&#39;</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">2.</span><span class="p">]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dense</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">dense</span><span class="p">)</span>
<span class="go">5.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dense</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">],</span> <span class="p">[</span><span class="mf">2.</span><span class="p">,</span> <span class="mf">1.</span><span class="p">]))</span>
<span class="go">4.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dense</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">))</span>
<span class="go">5.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dense</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">)))</span>
<span class="go">5.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dense</span><span class="o">.</span><span class="n">dot</span><span class="p">([</span><span class="mf">1.</span><span class="p">,])</span>
<span class="gt">Traceback (most recent call last):</span>
<span class="o">...</span>
<span class="gr">AssertionError</span>: <span class="n">dimension mismatch</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dense</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">reshape</span><span class="p">([</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">2.</span><span class="p">,</span> <span class="mf">3.</span><span class="p">,</span> <span class="mf">4.</span><span class="p">],</span> <span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">),</span> <span class="n">order</span><span class="o">=</span><span class="s">&#39;F&#39;</span><span class="p">))</span>
<span class="go">array([ 5., 11.])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dense</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">reshape</span><span class="p">([</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">2.</span><span class="p">,</span> <span class="mf">3.</span><span class="p">],</span> <span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="n">order</span><span class="o">=</span><span class="s">&#39;F&#39;</span><span class="p">))</span>
<span class="gt">Traceback (most recent call last):</span>
<span class="o">...</span>
<span class="gr">AssertionError</span>: <span class="n">dimension mismatch</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.DenseVector.norm">
<tt class="descname">norm</tt><big>(</big><em>p</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#DenseVector.norm"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.DenseVector.norm" title="Permalink to this definition"></a></dt>
<dd><p>Calculte the norm of a DenseVector.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">a</span> <span class="o">=</span> <span class="n">DenseVector</span><span class="p">([</span><span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="o">-</span><span class="mi">3</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">norm</span><span class="p">(</span><span class="mi">2</span><span class="p">)</span>
<span class="go">3.7...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">norm</span><span class="p">(</span><span class="mi">1</span><span class="p">)</span>
<span class="go">6.0</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.DenseVector.numNonzeros">
<tt class="descname">numNonzeros</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#DenseVector.numNonzeros"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.DenseVector.numNonzeros" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.linalg.DenseVector.parse">
<em class="property">static </em><tt class="descname">parse</tt><big>(</big><em>s</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#DenseVector.parse"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.DenseVector.parse" title="Permalink to this definition"></a></dt>
<dd><p>Parse string representation back into the DenseVector.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">DenseVector</span><span class="o">.</span><span class="n">parse</span><span class="p">(</span><span class="s">&#39; [ 0.0,1.0,2.0, 3.0]&#39;</span><span class="p">)</span>
<span class="go">DenseVector([0.0, 1.0, 2.0, 3.0])</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.DenseVector.squared_distance">
<tt class="descname">squared_distance</tt><big>(</big><em>other</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#DenseVector.squared_distance"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.DenseVector.squared_distance" title="Permalink to this definition"></a></dt>
<dd><p>Squared distance of two Vectors.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">dense1</span> <span class="o">=</span> <span class="n">DenseVector</span><span class="p">(</span><span class="n">array</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="s">&#39;d&#39;</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">2.</span><span class="p">]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dense1</span><span class="o">.</span><span class="n">squared_distance</span><span class="p">(</span><span class="n">dense1</span><span class="p">)</span>
<span class="go">0.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dense2</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">2.</span><span class="p">,</span> <span class="mf">1.</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dense1</span><span class="o">.</span><span class="n">squared_distance</span><span class="p">(</span><span class="n">dense2</span><span class="p">)</span>
<span class="go">2.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dense3</span> <span class="o">=</span> <span class="p">[</span><span class="mf">2.</span><span class="p">,</span> <span class="mf">1.</span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dense1</span><span class="o">.</span><span class="n">squared_distance</span><span class="p">(</span><span class="n">dense3</span><span class="p">)</span>
<span class="go">2.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sparse1</span> <span class="o">=</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">],</span> <span class="p">[</span><span class="mf">2.</span><span class="p">,</span> <span class="mf">1.</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dense1</span><span class="o">.</span><span class="n">squared_distance</span><span class="p">(</span><span class="n">sparse1</span><span class="p">)</span>
<span class="go">2.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dense1</span><span class="o">.</span><span class="n">squared_distance</span><span class="p">([</span><span class="mf">1.</span><span class="p">,])</span>
<span class="gt">Traceback (most recent call last):</span>
<span class="o">...</span>
<span class="gr">AssertionError</span>: <span class="n">dimension mismatch</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">dense1</span><span class="o">.</span><span class="n">squared_distance</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">[</span><span class="mi">0</span><span class="p">,],</span> <span class="p">[</span><span class="mf">1.</span><span class="p">,]))</span>
<span class="gt">Traceback (most recent call last):</span>
<span class="o">...</span>
<span class="gr">AssertionError</span>: <span class="n">dimension mismatch</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.DenseVector.toArray">
<tt class="descname">toArray</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#DenseVector.toArray"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.DenseVector.toArray" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.linalg.SparseVector">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.linalg.</tt><tt class="descname">SparseVector</tt><big>(</big><em>size</em>, <em>*args</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#SparseVector"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.SparseVector" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pyspark.mllib.linalg.Vector" title="pyspark.mllib.linalg.Vector"><tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.linalg.Vector</span></tt></a></p>
<p>A simple sparse vector class for passing data to MLlib. Users may
alternatively pass SciPy&#8217;s {scipy.sparse} data types.</p>
<dl class="method">
<dt id="pyspark.mllib.linalg.SparseVector.dot">
<tt class="descname">dot</tt><big>(</big><em>other</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#SparseVector.dot"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.SparseVector.dot" title="Permalink to this definition"></a></dt>
<dd><p>Dot product with a SparseVector or 1- or 2-dimensional Numpy array.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">a</span> <span class="o">=</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">],</span> <span class="p">[</span><span class="mf">3.0</span><span class="p">,</span> <span class="mf">4.0</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="go">25.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">array</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="s">&#39;d&#39;</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">2.</span><span class="p">,</span> <span class="mf">3.</span><span class="p">,</span> <span class="mf">4.</span><span class="p">]))</span>
<span class="go">22.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">b</span> <span class="o">=</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="p">[</span><span class="mi">2</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">b</span><span class="p">)</span>
<span class="go">0.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">],</span> <span class="p">[</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">],</span> <span class="p">[</span><span class="mi">3</span><span class="p">,</span> <span class="mi">3</span><span class="p">],</span> <span class="p">[</span><span class="mi">4</span><span class="p">,</span> <span class="mi">4</span><span class="p">]]))</span>
<span class="go">array([ 22., 22.])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">dot</span><span class="p">([</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">2.</span><span class="p">,</span> <span class="mf">3.</span><span class="p">])</span>
<span class="gt">Traceback (most recent call last):</span>
<span class="o">...</span>
<span class="gr">AssertionError</span>: <span class="n">dimension mismatch</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">2.</span><span class="p">]))</span>
<span class="gt">Traceback (most recent call last):</span>
<span class="o">...</span>
<span class="gr">AssertionError</span>: <span class="n">dimension mismatch</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">DenseVector</span><span class="p">([</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">2.</span><span class="p">]))</span>
<span class="gt">Traceback (most recent call last):</span>
<span class="o">...</span>
<span class="gr">AssertionError</span>: <span class="n">dimension mismatch</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">)))</span>
<span class="gt">Traceback (most recent call last):</span>
<span class="o">...</span>
<span class="gr">AssertionError</span>: <span class="n">dimension mismatch</span>
</pre></div>
</div>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.linalg.SparseVector.indices">
<tt class="descname">indices</tt><em class="property"> = None</em><a class="headerlink" href="#pyspark.mllib.linalg.SparseVector.indices" title="Permalink to this definition"></a></dt>
<dd><p>A list of indices corresponding to active entries.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.SparseVector.norm">
<tt class="descname">norm</tt><big>(</big><em>p</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#SparseVector.norm"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.SparseVector.norm" title="Permalink to this definition"></a></dt>
<dd><p>Calculte the norm of a SparseVector.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">a</span> <span class="o">=</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">],</span> <span class="p">[</span><span class="mf">3.</span><span class="p">,</span> <span class="o">-</span><span class="mf">4.</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">norm</span><span class="p">(</span><span class="mi">1</span><span class="p">)</span>
<span class="go">7.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">norm</span><span class="p">(</span><span class="mi">2</span><span class="p">)</span>
<span class="go">5.0</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.SparseVector.numNonzeros">
<tt class="descname">numNonzeros</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#SparseVector.numNonzeros"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.SparseVector.numNonzeros" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.linalg.SparseVector.parse">
<em class="property">static </em><tt class="descname">parse</tt><big>(</big><em>s</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#SparseVector.parse"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.SparseVector.parse" title="Permalink to this definition"></a></dt>
<dd><p>Parse string representation back into the DenseVector.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">SparseVector</span><span class="o">.</span><span class="n">parse</span><span class="p">(</span><span class="s">&#39; (4, [0,1 ],[ 4.0,5.0] )&#39;</span><span class="p">)</span>
<span class="go">SparseVector(4, {0: 4.0, 1: 5.0})</span>
</pre></div>
</div>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.linalg.SparseVector.size">
<tt class="descname">size</tt><em class="property"> = None</em><a class="headerlink" href="#pyspark.mllib.linalg.SparseVector.size" title="Permalink to this definition"></a></dt>
<dd><p>Size of the vector.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.SparseVector.squared_distance">
<tt class="descname">squared_distance</tt><big>(</big><em>other</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#SparseVector.squared_distance"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.SparseVector.squared_distance" title="Permalink to this definition"></a></dt>
<dd><p>Squared distance from a SparseVector or 1-dimensional NumPy array.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">a</span> <span class="o">=</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">],</span> <span class="p">[</span><span class="mf">3.0</span><span class="p">,</span> <span class="mf">4.0</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">squared_distance</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="go">0.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">squared_distance</span><span class="p">(</span><span class="n">array</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="s">&#39;d&#39;</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">2.</span><span class="p">,</span> <span class="mf">3.</span><span class="p">,</span> <span class="mf">4.</span><span class="p">]))</span>
<span class="go">11.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">squared_distance</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">2.</span><span class="p">,</span> <span class="mf">3.</span><span class="p">,</span> <span class="mf">4.</span><span class="p">]))</span>
<span class="go">11.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">b</span> <span class="o">=</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="p">[</span><span class="mi">2</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">squared_distance</span><span class="p">(</span><span class="n">b</span><span class="p">)</span>
<span class="go">26.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">b</span><span class="o">.</span><span class="n">squared_distance</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="go">26.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">b</span><span class="o">.</span><span class="n">squared_distance</span><span class="p">([</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">2.</span><span class="p">])</span>
<span class="gt">Traceback (most recent call last):</span>
<span class="o">...</span>
<span class="gr">AssertionError</span>: <span class="n">dimension mismatch</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">b</span><span class="o">.</span><span class="n">squared_distance</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,],</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">,]))</span>
<span class="gt">Traceback (most recent call last):</span>
<span class="o">...</span>
<span class="gr">AssertionError</span>: <span class="n">dimension mismatch</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.SparseVector.toArray">
<tt class="descname">toArray</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#SparseVector.toArray"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.SparseVector.toArray" title="Permalink to this definition"></a></dt>
<dd><p>Returns a copy of this SparseVector as a 1-dimensional NumPy array.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.linalg.SparseVector.values">
<tt class="descname">values</tt><em class="property"> = None</em><a class="headerlink" href="#pyspark.mllib.linalg.SparseVector.values" title="Permalink to this definition"></a></dt>
<dd><p>A list of values corresponding to active entries.</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.linalg.Vectors">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.linalg.</tt><tt class="descname">Vectors</tt><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#Vectors"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.Vectors" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></p>
<p>Factory methods for working with vectors. Note that dense vectors
are simply represented as NumPy array objects, so there is no need
to covert them for use in MLlib. For sparse vectors, the factory
methods in this class create an MLlib-compatible type, or users
can pass in SciPy&#8217;s <tt class="xref py py-class docutils literal"><span class="pre">scipy.sparse</span></tt> column vectors.</p>
<dl class="staticmethod">
<dt id="pyspark.mllib.linalg.Vectors.dense">
<em class="property">static </em><tt class="descname">dense</tt><big>(</big><em>*elements</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#Vectors.dense"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.Vectors.dense" title="Permalink to this definition"></a></dt>
<dd><p>Create a dense vector of 64-bit floats from a Python list or numbers.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">])</span>
<span class="go">DenseVector([1.0, 2.0, 3.0])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">)</span>
<span class="go">DenseVector([1.0, 2.0])</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.linalg.Vectors.norm">
<em class="property">static </em><tt class="descname">norm</tt><big>(</big><em>vector</em>, <em>p</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#Vectors.norm"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.Vectors.norm" title="Permalink to this definition"></a></dt>
<dd><p>Find norm of the given vector.</p>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.linalg.Vectors.parse">
<em class="property">static </em><tt class="descname">parse</tt><big>(</big><em>s</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#Vectors.parse"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.Vectors.parse" title="Permalink to this definition"></a></dt>
<dd><p>Parse a string representation back into the Vector.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">Vectors</span><span class="o">.</span><span class="n">parse</span><span class="p">(</span><span class="s">&#39;[2,1,2 ]&#39;</span><span class="p">)</span>
<span class="go">DenseVector([2.0, 1.0, 2.0])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">Vectors</span><span class="o">.</span><span class="n">parse</span><span class="p">(</span><span class="s">&#39; ( 100, [0], [2])&#39;</span><span class="p">)</span>
<span class="go">SparseVector(100, {0: 2.0})</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.linalg.Vectors.sparse">
<em class="property">static </em><tt class="descname">sparse</tt><big>(</big><em>size</em>, <em>*args</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#Vectors.sparse"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.Vectors.sparse" title="Permalink to this definition"></a></dt>
<dd><p>Create a sparse vector, using either a dictionary, a list of
(index, value) pairs, or two separate arrays of indices and
values (sorted by index).</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>size</strong> &#8211; Size of the vector.</li>
<li><strong>args</strong> &#8211; Non-zero entries, as a dictionary, list of tupes,
or two sorted lists containing indices and values.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">Vectors</span><span class="o">.</span><span class="n">sparse</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">,</span> <span class="mi">3</span><span class="p">:</span> <span class="mf">5.5</span><span class="p">})</span>
<span class="go">SparseVector(4, {1: 1.0, 3: 5.5})</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">Vectors</span><span class="o">.</span><span class="n">sparse</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="p">[(</span><span class="mi">1</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mf">5.5</span><span class="p">)])</span>
<span class="go">SparseVector(4, {1: 1.0, 3: 5.5})</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">Vectors</span><span class="o">.</span><span class="n">sparse</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">5.5</span><span class="p">])</span>
<span class="go">SparseVector(4, {1: 1.0, 3: 5.5})</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.linalg.Vectors.squared_distance">
<em class="property">static </em><tt class="descname">squared_distance</tt><big>(</big><em>v1</em>, <em>v2</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#Vectors.squared_distance"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.Vectors.squared_distance" title="Permalink to this definition"></a></dt>
<dd><p>Squared distance between two vectors.
a and b can be of type SparseVector, DenseVector, np.ndarray
or array.array.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">a</span> <span class="o">=</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">sparse</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="p">[(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">)])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">b</span> <span class="o">=</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mi">2</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">1</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">squared_distance</span><span class="p">(</span><span class="n">b</span><span class="p">)</span>
<span class="go">51.0</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.linalg.Vectors.stringify">
<em class="property">static </em><tt class="descname">stringify</tt><big>(</big><em>vector</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#Vectors.stringify"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.Vectors.stringify" title="Permalink to this definition"></a></dt>
<dd><p>Converts a vector into a string, which can be recognized by
Vectors.parse().</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">Vectors</span><span class="o">.</span><span class="n">stringify</span><span class="p">(</span><span class="n">Vectors</span><span class="o">.</span><span class="n">sparse</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">]))</span>
<span class="go">&#39;(2,[1],[1.0])&#39;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">Vectors</span><span class="o">.</span><span class="n">stringify</span><span class="p">(</span><span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">]))</span>
<span class="go">&#39;[0.0,1.0]&#39;</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.linalg.Vectors.zeros">
<em class="property">static </em><tt class="descname">zeros</tt><big>(</big><em>size</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#Vectors.zeros"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.Vectors.zeros" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.linalg.Matrix">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.linalg.</tt><tt class="descname">Matrix</tt><big>(</big><em>numRows</em>, <em>numCols</em>, <em>isTransposed=False</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#Matrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.Matrix" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></p>
<dl class="method">
<dt id="pyspark.mllib.linalg.Matrix.toArray">
<tt class="descname">toArray</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#Matrix.toArray"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.Matrix.toArray" title="Permalink to this definition"></a></dt>
<dd><p>Returns its elements in a NumPy ndarray.</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.linalg.DenseMatrix">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.linalg.</tt><tt class="descname">DenseMatrix</tt><big>(</big><em>numRows</em>, <em>numCols</em>, <em>values</em>, <em>isTransposed=False</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#DenseMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.DenseMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pyspark.mllib.linalg.Matrix" title="pyspark.mllib.linalg.Matrix"><tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.linalg.Matrix</span></tt></a></p>
<p>Column-major dense matrix.</p>
<dl class="method">
<dt id="pyspark.mllib.linalg.DenseMatrix.toArray">
<tt class="descname">toArray</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#DenseMatrix.toArray"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.DenseMatrix.toArray" title="Permalink to this definition"></a></dt>
<dd><p>Return an numpy.ndarray</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">m</span> <span class="o">=</span> <span class="n">DenseMatrix</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="nb">range</span><span class="p">(</span><span class="mi">4</span><span class="p">))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">m</span><span class="o">.</span><span class="n">toArray</span><span class="p">()</span>
<span class="go">array([[ 0., 2.],</span>
<span class="go"> [ 1., 3.]])</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.DenseMatrix.toSparse">
<tt class="descname">toSparse</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#DenseMatrix.toSparse"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.DenseMatrix.toSparse" title="Permalink to this definition"></a></dt>
<dd><p>Convert to SparseMatrix</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.linalg.SparseMatrix">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.linalg.</tt><tt class="descname">SparseMatrix</tt><big>(</big><em>numRows</em>, <em>numCols</em>, <em>colPtrs</em>, <em>rowIndices</em>, <em>values</em>, <em>isTransposed=False</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#SparseMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.SparseMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pyspark.mllib.linalg.Matrix" title="pyspark.mllib.linalg.Matrix"><tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.linalg.Matrix</span></tt></a></p>
<p>Sparse Matrix stored in CSC format.</p>
<dl class="method">
<dt id="pyspark.mllib.linalg.SparseMatrix.toArray">
<tt class="descname">toArray</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#SparseMatrix.toArray"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.SparseMatrix.toArray" title="Permalink to this definition"></a></dt>
<dd><p>Return an numpy.ndarray</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.SparseMatrix.toDense">
<tt class="descname">toDense</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#SparseMatrix.toDense"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.SparseMatrix.toDense" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.linalg.Matrices">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.linalg.</tt><tt class="descname">Matrices</tt><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#Matrices"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.Matrices" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></p>
<dl class="staticmethod">
<dt id="pyspark.mllib.linalg.Matrices.dense">
<em class="property">static </em><tt class="descname">dense</tt><big>(</big><em>numRows</em>, <em>numCols</em>, <em>values</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#Matrices.dense"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.Matrices.dense" title="Permalink to this definition"></a></dt>
<dd><p>Create a DenseMatrix</p>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.linalg.Matrices.sparse">
<em class="property">static </em><tt class="descname">sparse</tt><big>(</big><em>numRows</em>, <em>numCols</em>, <em>colPtrs</em>, <em>rowIndices</em>, <em>values</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg.html#Matrices.sparse"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.Matrices.sparse" title="Permalink to this definition"></a></dt>
<dd><p>Create a SparseMatrix</p>
</dd></dl>
</dd></dl>
</div>
<div class="section" id="module-pyspark.mllib.linalg.distributed">
<span id="pyspark-mllib-linalg-distributed-module"></span><h2>pyspark.mllib.linalg.distributed module<a class="headerlink" href="#module-pyspark.mllib.linalg.distributed" title="Permalink to this headline"></a></h2>
<p>Package for distributed linear algebra.</p>
<dl class="class">
<dt id="pyspark.mllib.linalg.distributed.DistributedMatrix">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.linalg.distributed.</tt><tt class="descname">DistributedMatrix</tt><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#DistributedMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.DistributedMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Represents a distributively stored matrix backed by one or
more RDDs.</p>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.DistributedMatrix.numCols">
<tt class="descname">numCols</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#DistributedMatrix.numCols"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.DistributedMatrix.numCols" title="Permalink to this definition"></a></dt>
<dd><p>Get or compute the number of cols.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.DistributedMatrix.numRows">
<tt class="descname">numRows</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#DistributedMatrix.numRows"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.DistributedMatrix.numRows" title="Permalink to this definition"></a></dt>
<dd><p>Get or compute the number of rows.</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.linalg.distributed.RowMatrix">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.linalg.distributed.</tt><tt class="descname">RowMatrix</tt><big>(</big><em>rows</em>, <em>numRows=0</em>, <em>numCols=0</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#RowMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.RowMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pyspark.mllib.linalg.distributed.DistributedMatrix" title="pyspark.mllib.linalg.distributed.DistributedMatrix"><tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.linalg.distributed.DistributedMatrix</span></tt></a></p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Represents a row-oriented distributed Matrix with no meaningful
row indices.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>rows</strong> &#8211; An RDD of vectors.</li>
<li><strong>numRows</strong> &#8211; Number of rows in the matrix. A non-positive
value means unknown, at which point the number
of rows will be determined by the number of
records in the <cite>rows</cite> RDD.</li>
<li><strong>numCols</strong> &#8211; Number of columns in the matrix. A non-positive
value means unknown, at which point the number
of columns will be determined by the size of
the first row.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.RowMatrix.numCols">
<tt class="descname">numCols</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#RowMatrix.numCols"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.RowMatrix.numCols" title="Permalink to this definition"></a></dt>
<dd><p>Get or compute the number of cols.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">rows</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">],</span> <span class="p">[</span><span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">],</span> <span class="p">[</span><span class="mi">10</span><span class="p">,</span> <span class="mi">11</span><span class="p">,</span> <span class="mi">12</span><span class="p">]])</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">RowMatrix</span><span class="p">(</span><span class="n">rows</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numCols</span><span class="p">())</span>
<span class="go">3</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">RowMatrix</span><span class="p">(</span><span class="n">rows</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">6</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numCols</span><span class="p">())</span>
<span class="go">6</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.RowMatrix.numRows">
<tt class="descname">numRows</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#RowMatrix.numRows"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.RowMatrix.numRows" title="Permalink to this definition"></a></dt>
<dd><p>Get or compute the number of rows.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">rows</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">],</span> <span class="p">[</span><span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">],</span>
<span class="gp">... </span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">],</span> <span class="p">[</span><span class="mi">10</span><span class="p">,</span> <span class="mi">11</span><span class="p">,</span> <span class="mi">12</span><span class="p">]])</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">RowMatrix</span><span class="p">(</span><span class="n">rows</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numRows</span><span class="p">())</span>
<span class="go">4</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">RowMatrix</span><span class="p">(</span><span class="n">rows</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">6</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numRows</span><span class="p">())</span>
<span class="go">7</span>
</pre></div>
</div>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.linalg.distributed.RowMatrix.rows">
<tt class="descname">rows</tt><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#RowMatrix.rows"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.RowMatrix.rows" title="Permalink to this definition"></a></dt>
<dd><p>Rows of the RowMatrix stored as an RDD of vectors.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">RowMatrix</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">],</span> <span class="p">[</span><span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">]]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rows</span> <span class="o">=</span> <span class="n">mat</span><span class="o">.</span><span class="n">rows</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rows</span><span class="o">.</span><span class="n">first</span><span class="p">()</span>
<span class="go">DenseVector([1.0, 2.0, 3.0])</span>
</pre></div>
</div>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.linalg.distributed.IndexedRow">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.linalg.distributed.</tt><tt class="descname">IndexedRow</tt><big>(</big><em>index</em>, <em>vector</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#IndexedRow"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.IndexedRow" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Represents a row of an IndexedRowMatrix.</p>
<p>Just a wrapper over a (long, vector) tuple.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>index</strong> &#8211; The index for the given row.</li>
<li><strong>vector</strong> &#8211; The row in the matrix at the given index.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.linalg.distributed.IndexedRowMatrix">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.linalg.distributed.</tt><tt class="descname">IndexedRowMatrix</tt><big>(</big><em>rows</em>, <em>numRows=0</em>, <em>numCols=0</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#IndexedRowMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.IndexedRowMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pyspark.mllib.linalg.distributed.DistributedMatrix" title="pyspark.mllib.linalg.distributed.DistributedMatrix"><tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.linalg.distributed.DistributedMatrix</span></tt></a></p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Represents a row-oriented distributed Matrix with indexed rows.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>rows</strong> &#8211; An RDD of IndexedRows or (long, vector) tuples.</li>
<li><strong>numRows</strong> &#8211; Number of rows in the matrix. A non-positive
value means unknown, at which point the number
of rows will be determined by the max row
index plus one.</li>
<li><strong>numCols</strong> &#8211; Number of columns in the matrix. A non-positive
value means unknown, at which point the number
of columns will be determined by the size of
the first row.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.IndexedRowMatrix.numCols">
<tt class="descname">numCols</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#IndexedRowMatrix.numCols"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.IndexedRowMatrix.numCols" title="Permalink to this definition"></a></dt>
<dd><p>Get or compute the number of cols.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">rows</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">IndexedRow</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">IndexedRow</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">[</span><span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">IndexedRow</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">IndexedRow</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="p">[</span><span class="mi">10</span><span class="p">,</span> <span class="mi">11</span><span class="p">,</span> <span class="mi">12</span><span class="p">])])</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">IndexedRowMatrix</span><span class="p">(</span><span class="n">rows</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numCols</span><span class="p">())</span>
<span class="go">3</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">IndexedRowMatrix</span><span class="p">(</span><span class="n">rows</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">6</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numCols</span><span class="p">())</span>
<span class="go">6</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.IndexedRowMatrix.numRows">
<tt class="descname">numRows</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#IndexedRowMatrix.numRows"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.IndexedRowMatrix.numRows" title="Permalink to this definition"></a></dt>
<dd><p>Get or compute the number of rows.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">rows</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">IndexedRow</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">IndexedRow</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">[</span><span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">IndexedRow</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">IndexedRow</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="p">[</span><span class="mi">10</span><span class="p">,</span> <span class="mi">11</span><span class="p">,</span> <span class="mi">12</span><span class="p">])])</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">IndexedRowMatrix</span><span class="p">(</span><span class="n">rows</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numRows</span><span class="p">())</span>
<span class="go">4</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">IndexedRowMatrix</span><span class="p">(</span><span class="n">rows</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">6</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numRows</span><span class="p">())</span>
<span class="go">7</span>
</pre></div>
</div>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.linalg.distributed.IndexedRowMatrix.rows">
<tt class="descname">rows</tt><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#IndexedRowMatrix.rows"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.IndexedRowMatrix.rows" title="Permalink to this definition"></a></dt>
<dd><p>Rows of the IndexedRowMatrix stored as an RDD of IndexedRows.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">IndexedRowMatrix</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">IndexedRow</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">IndexedRow</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">[</span><span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">])]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rows</span> <span class="o">=</span> <span class="n">mat</span><span class="o">.</span><span class="n">rows</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rows</span><span class="o">.</span><span class="n">first</span><span class="p">()</span>
<span class="go">IndexedRow(0, [1.0,2.0,3.0])</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.IndexedRowMatrix.toBlockMatrix">
<tt class="descname">toBlockMatrix</tt><big>(</big><em>rowsPerBlock=1024</em>, <em>colsPerBlock=1024</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#IndexedRowMatrix.toBlockMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.IndexedRowMatrix.toBlockMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Convert this matrix to a BlockMatrix.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>rowsPerBlock</strong> &#8211; Number of rows that make up each block.
The blocks forming the final rows are not
required to have the given number of rows.</li>
<li><strong>colsPerBlock</strong> &#8211; Number of columns that make up each block.
The blocks forming the final columns are not
required to have the given number of columns.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">rows</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">IndexedRow</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">IndexedRow</span><span class="p">(</span><span class="mi">6</span><span class="p">,</span> <span class="p">[</span><span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">])])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">IndexedRowMatrix</span><span class="p">(</span><span class="n">rows</span><span class="p">)</span><span class="o">.</span><span class="n">toBlockMatrix</span><span class="p">()</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="c"># This IndexedRowMatrix will have 7 effective rows, due to</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># the highest row index being 6, and the ensuing</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># BlockMatrix will have 7 rows as well.</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numRows</span><span class="p">())</span>
<span class="go">7</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numCols</span><span class="p">())</span>
<span class="go">3</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.IndexedRowMatrix.toCoordinateMatrix">
<tt class="descname">toCoordinateMatrix</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#IndexedRowMatrix.toCoordinateMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.IndexedRowMatrix.toCoordinateMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Convert this matrix to a CoordinateMatrix.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">rows</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">IndexedRow</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">IndexedRow</span><span class="p">(</span><span class="mi">6</span><span class="p">,</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">5</span><span class="p">])])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">IndexedRowMatrix</span><span class="p">(</span><span class="n">rows</span><span class="p">)</span><span class="o">.</span><span class="n">toCoordinateMatrix</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span><span class="o">.</span><span class="n">entries</span><span class="o">.</span><span class="n">take</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>
<span class="go">[MatrixEntry(0, 0, 1.0), MatrixEntry(0, 1, 0.0), MatrixEntry(6, 0, 0.0)]</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.IndexedRowMatrix.toRowMatrix">
<tt class="descname">toRowMatrix</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#IndexedRowMatrix.toRowMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.IndexedRowMatrix.toRowMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Convert this matrix to a RowMatrix.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">rows</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">IndexedRow</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">IndexedRow</span><span class="p">(</span><span class="mi">6</span><span class="p">,</span> <span class="p">[</span><span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">])])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">IndexedRowMatrix</span><span class="p">(</span><span class="n">rows</span><span class="p">)</span><span class="o">.</span><span class="n">toRowMatrix</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span><span class="o">.</span><span class="n">rows</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[DenseVector([1.0, 2.0, 3.0]), DenseVector([4.0, 5.0, 6.0])]</span>
</pre></div>
</div>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.linalg.distributed.MatrixEntry">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.linalg.distributed.</tt><tt class="descname">MatrixEntry</tt><big>(</big><em>i</em>, <em>j</em>, <em>value</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#MatrixEntry"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.MatrixEntry" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Represents an entry of a CoordinateMatrix.</p>
<p>Just a wrapper over a (long, long, float) tuple.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>i</strong> &#8211; The row index of the matrix.</li>
<li><strong>j</strong> &#8211; The column index of the matrix.</li>
<li><strong>value</strong> &#8211; The (i, j)th entry of the matrix, as a float.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.linalg.distributed.CoordinateMatrix">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.linalg.distributed.</tt><tt class="descname">CoordinateMatrix</tt><big>(</big><em>entries</em>, <em>numRows=0</em>, <em>numCols=0</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#CoordinateMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.CoordinateMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pyspark.mllib.linalg.distributed.DistributedMatrix" title="pyspark.mllib.linalg.distributed.DistributedMatrix"><tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.linalg.distributed.DistributedMatrix</span></tt></a></p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Represents a matrix in coordinate format.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>entries</strong> &#8211; An RDD of MatrixEntry inputs or
(long, long, float) tuples.</li>
<li><strong>numRows</strong> &#8211; Number of rows in the matrix. A non-positive
value means unknown, at which point the number
of rows will be determined by the max row
index plus one.</li>
<li><strong>numCols</strong> &#8211; Number of columns in the matrix. A non-positive
value means unknown, at which point the number
of columns will be determined by the max row
index plus one.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<dl class="attribute">
<dt id="pyspark.mllib.linalg.distributed.CoordinateMatrix.entries">
<tt class="descname">entries</tt><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#CoordinateMatrix.entries"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.CoordinateMatrix.entries" title="Permalink to this definition"></a></dt>
<dd><p>Entries of the CoordinateMatrix stored as an RDD of
MatrixEntries.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">CoordinateMatrix</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">MatrixEntry</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mf">1.2</span><span class="p">),</span>
<span class="gp">... </span> <span class="n">MatrixEntry</span><span class="p">(</span><span class="mi">6</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mf">2.1</span><span class="p">)]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">entries</span> <span class="o">=</span> <span class="n">mat</span><span class="o">.</span><span class="n">entries</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">entries</span><span class="o">.</span><span class="n">first</span><span class="p">()</span>
<span class="go">MatrixEntry(0, 0, 1.2)</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.CoordinateMatrix.numCols">
<tt class="descname">numCols</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#CoordinateMatrix.numCols"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.CoordinateMatrix.numCols" title="Permalink to this definition"></a></dt>
<dd><p>Get or compute the number of cols.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">entries</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">MatrixEntry</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mf">1.2</span><span class="p">),</span>
<span class="gp">... </span> <span class="n">MatrixEntry</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="p">),</span>
<span class="gp">... </span> <span class="n">MatrixEntry</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mf">3.7</span><span class="p">)])</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">CoordinateMatrix</span><span class="p">(</span><span class="n">entries</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numCols</span><span class="p">())</span>
<span class="go">2</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">CoordinateMatrix</span><span class="p">(</span><span class="n">entries</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">6</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numCols</span><span class="p">())</span>
<span class="go">6</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.CoordinateMatrix.numRows">
<tt class="descname">numRows</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#CoordinateMatrix.numRows"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.CoordinateMatrix.numRows" title="Permalink to this definition"></a></dt>
<dd><p>Get or compute the number of rows.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">entries</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">MatrixEntry</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mf">1.2</span><span class="p">),</span>
<span class="gp">... </span> <span class="n">MatrixEntry</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="p">),</span>
<span class="gp">... </span> <span class="n">MatrixEntry</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mf">3.7</span><span class="p">)])</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">CoordinateMatrix</span><span class="p">(</span><span class="n">entries</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numRows</span><span class="p">())</span>
<span class="go">3</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">CoordinateMatrix</span><span class="p">(</span><span class="n">entries</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">6</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numRows</span><span class="p">())</span>
<span class="go">7</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.CoordinateMatrix.toBlockMatrix">
<tt class="descname">toBlockMatrix</tt><big>(</big><em>rowsPerBlock=1024</em>, <em>colsPerBlock=1024</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#CoordinateMatrix.toBlockMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.CoordinateMatrix.toBlockMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Convert this matrix to a BlockMatrix.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>rowsPerBlock</strong> &#8211; Number of rows that make up each block.
The blocks forming the final rows are not
required to have the given number of rows.</li>
<li><strong>colsPerBlock</strong> &#8211; Number of columns that make up each block.
The blocks forming the final columns are not
required to have the given number of columns.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">entries</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">MatrixEntry</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mf">1.2</span><span class="p">),</span>
<span class="gp">... </span> <span class="n">MatrixEntry</span><span class="p">(</span><span class="mi">6</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mf">2.1</span><span class="p">)])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">CoordinateMatrix</span><span class="p">(</span><span class="n">entries</span><span class="p">)</span><span class="o">.</span><span class="n">toBlockMatrix</span><span class="p">()</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="c"># This CoordinateMatrix will have 7 effective rows, due to</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># the highest row index being 6, and the ensuing</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># BlockMatrix will have 7 rows as well.</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numRows</span><span class="p">())</span>
<span class="go">7</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="c"># This CoordinateMatrix will have 5 columns, due to the</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># highest column index being 4, and the ensuing</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># BlockMatrix will have 5 columns as well.</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numCols</span><span class="p">())</span>
<span class="go">5</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.CoordinateMatrix.toIndexedRowMatrix">
<tt class="descname">toIndexedRowMatrix</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#CoordinateMatrix.toIndexedRowMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.CoordinateMatrix.toIndexedRowMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Convert this matrix to an IndexedRowMatrix.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">entries</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">MatrixEntry</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mf">1.2</span><span class="p">),</span>
<span class="gp">... </span> <span class="n">MatrixEntry</span><span class="p">(</span><span class="mi">6</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mf">2.1</span><span class="p">)])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">CoordinateMatrix</span><span class="p">(</span><span class="n">entries</span><span class="p">)</span><span class="o">.</span><span class="n">toIndexedRowMatrix</span><span class="p">()</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="c"># This CoordinateMatrix will have 7 effective rows, due to</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># the highest row index being 6, and the ensuing</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># IndexedRowMatrix will have 7 rows as well.</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numRows</span><span class="p">())</span>
<span class="go">7</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="c"># This CoordinateMatrix will have 5 columns, due to the</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># highest column index being 4, and the ensuing</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># IndexedRowMatrix will have 5 columns as well.</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numCols</span><span class="p">())</span>
<span class="go">5</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.CoordinateMatrix.toRowMatrix">
<tt class="descname">toRowMatrix</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#CoordinateMatrix.toRowMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.CoordinateMatrix.toRowMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Convert this matrix to a RowMatrix.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">entries</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">MatrixEntry</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mf">1.2</span><span class="p">),</span>
<span class="gp">... </span> <span class="n">MatrixEntry</span><span class="p">(</span><span class="mi">6</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mf">2.1</span><span class="p">)])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">CoordinateMatrix</span><span class="p">(</span><span class="n">entries</span><span class="p">)</span><span class="o">.</span><span class="n">toRowMatrix</span><span class="p">()</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="c"># This CoordinateMatrix will have 7 effective rows, due to</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># the highest row index being 6, but the ensuing RowMatrix</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># will only have 2 rows since there are only entries on 2</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># unique rows.</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numRows</span><span class="p">())</span>
<span class="go">2</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="c"># This CoordinateMatrix will have 5 columns, due to the</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># highest column index being 4, and the ensuing RowMatrix</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># will have 5 columns as well.</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numCols</span><span class="p">())</span>
<span class="go">5</span>
</pre></div>
</div>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.linalg.distributed.BlockMatrix">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.linalg.distributed.</tt><tt class="descname">BlockMatrix</tt><big>(</big><em>blocks</em>, <em>rowsPerBlock</em>, <em>colsPerBlock</em>, <em>numRows=0</em>, <em>numCols=0</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#BlockMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.BlockMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pyspark.mllib.linalg.distributed.DistributedMatrix" title="pyspark.mllib.linalg.distributed.DistributedMatrix"><tt class="xref py py-class docutils literal"><span class="pre">pyspark.mllib.linalg.distributed.DistributedMatrix</span></tt></a></p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Represents a distributed matrix in blocks of local matrices.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>blocks</strong> &#8211; An RDD of sub-matrix blocks
((blockRowIndex, blockColIndex), sub-matrix) that
form this distributed matrix. If multiple blocks
with the same index exist, the results for
operations like add and multiply will be
unpredictable.</li>
<li><strong>rowsPerBlock</strong> &#8211; Number of rows that make up each block.
The blocks forming the final rows are not
required to have the given number of rows.</li>
<li><strong>colsPerBlock</strong> &#8211; Number of columns that make up each block.
The blocks forming the final columns are not
required to have the given number of columns.</li>
<li><strong>numRows</strong> &#8211; Number of rows of this matrix. If the supplied
value is less than or equal to zero, the number
of rows will be calculated when <cite>numRows</cite> is
invoked.</li>
<li><strong>numCols</strong> &#8211; Number of columns of this matrix. If the supplied
value is less than or equal to zero, the number
of columns will be calculated when <cite>numCols</cite> is
invoked.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<dl class="attribute">
<dt id="pyspark.mllib.linalg.distributed.BlockMatrix.blocks">
<tt class="descname">blocks</tt><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#BlockMatrix.blocks"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.BlockMatrix.blocks" title="Permalink to this definition"></a></dt>
<dd><p>The RDD of sub-matrix blocks
((blockRowIndex, blockColIndex), sub-matrix) that form this
distributed matrix.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">BlockMatrix</span><span class="p">(</span>
<span class="gp">... </span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">])),</span>
<span class="gp">... </span> <span class="p">((</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">11</span><span class="p">,</span> <span class="mi">12</span><span class="p">]))]),</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">blocks</span> <span class="o">=</span> <span class="n">mat</span><span class="o">.</span><span class="n">blocks</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">blocks</span><span class="o">.</span><span class="n">first</span><span class="p">()</span>
<span class="go">((0, 0), DenseMatrix(3, 2, [1.0, 2.0, 3.0, 4.0, 5.0, 6.0], 0))</span>
</pre></div>
</div>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.linalg.distributed.BlockMatrix.colsPerBlock">
<tt class="descname">colsPerBlock</tt><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#BlockMatrix.colsPerBlock"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.BlockMatrix.colsPerBlock" title="Permalink to this definition"></a></dt>
<dd><p>Number of columns that make up each block.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">blocks</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">])),</span>
<span class="gp">... </span> <span class="p">((</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">11</span><span class="p">,</span> <span class="mi">12</span><span class="p">]))])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">BlockMatrix</span><span class="p">(</span><span class="n">blocks</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span><span class="o">.</span><span class="n">colsPerBlock</span>
<span class="go">2</span>
</pre></div>
</div>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.linalg.distributed.BlockMatrix.numColBlocks">
<tt class="descname">numColBlocks</tt><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#BlockMatrix.numColBlocks"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.BlockMatrix.numColBlocks" title="Permalink to this definition"></a></dt>
<dd><p>Number of columns of blocks in the BlockMatrix.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">blocks</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">])),</span>
<span class="gp">... </span> <span class="p">((</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">11</span><span class="p">,</span> <span class="mi">12</span><span class="p">]))])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">BlockMatrix</span><span class="p">(</span><span class="n">blocks</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span><span class="o">.</span><span class="n">numColBlocks</span>
<span class="go">1</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.BlockMatrix.numCols">
<tt class="descname">numCols</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#BlockMatrix.numCols"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.BlockMatrix.numCols" title="Permalink to this definition"></a></dt>
<dd><p>Get or compute the number of cols.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">blocks</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">])),</span>
<span class="gp">... </span> <span class="p">((</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">11</span><span class="p">,</span> <span class="mi">12</span><span class="p">]))])</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">BlockMatrix</span><span class="p">(</span><span class="n">blocks</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numCols</span><span class="p">())</span>
<span class="go">2</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">BlockMatrix</span><span class="p">(</span><span class="n">blocks</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">6</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numCols</span><span class="p">())</span>
<span class="go">6</span>
</pre></div>
</div>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.linalg.distributed.BlockMatrix.numRowBlocks">
<tt class="descname">numRowBlocks</tt><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#BlockMatrix.numRowBlocks"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.BlockMatrix.numRowBlocks" title="Permalink to this definition"></a></dt>
<dd><p>Number of rows of blocks in the BlockMatrix.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">blocks</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">])),</span>
<span class="gp">... </span> <span class="p">((</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">11</span><span class="p">,</span> <span class="mi">12</span><span class="p">]))])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">BlockMatrix</span><span class="p">(</span><span class="n">blocks</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span><span class="o">.</span><span class="n">numRowBlocks</span>
<span class="go">2</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.BlockMatrix.numRows">
<tt class="descname">numRows</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#BlockMatrix.numRows"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.BlockMatrix.numRows" title="Permalink to this definition"></a></dt>
<dd><p>Get or compute the number of rows.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">blocks</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">])),</span>
<span class="gp">... </span> <span class="p">((</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">11</span><span class="p">,</span> <span class="mi">12</span><span class="p">]))])</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">BlockMatrix</span><span class="p">(</span><span class="n">blocks</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numRows</span><span class="p">())</span>
<span class="go">6</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">BlockMatrix</span><span class="p">(</span><span class="n">blocks</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">6</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numRows</span><span class="p">())</span>
<span class="go">7</span>
</pre></div>
</div>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.linalg.distributed.BlockMatrix.rowsPerBlock">
<tt class="descname">rowsPerBlock</tt><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#BlockMatrix.rowsPerBlock"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.BlockMatrix.rowsPerBlock" title="Permalink to this definition"></a></dt>
<dd><p>Number of rows that make up each block.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">blocks</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">])),</span>
<span class="gp">... </span> <span class="p">((</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">11</span><span class="p">,</span> <span class="mi">12</span><span class="p">]))])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">BlockMatrix</span><span class="p">(</span><span class="n">blocks</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span><span class="o">.</span><span class="n">rowsPerBlock</span>
<span class="go">3</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.BlockMatrix.toCoordinateMatrix">
<tt class="descname">toCoordinateMatrix</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#BlockMatrix.toCoordinateMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.BlockMatrix.toCoordinateMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Convert this matrix to a CoordinateMatrix.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">blocks</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">])),</span>
<span class="gp">... </span> <span class="p">((</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">]))])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">BlockMatrix</span><span class="p">(</span><span class="n">blocks</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span><span class="o">.</span><span class="n">toCoordinateMatrix</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span><span class="o">.</span><span class="n">entries</span><span class="o">.</span><span class="n">take</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>
<span class="go">[MatrixEntry(0, 0, 1.0), MatrixEntry(0, 1, 2.0), MatrixEntry(1, 0, 7.0)]</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.BlockMatrix.toIndexedRowMatrix">
<tt class="descname">toIndexedRowMatrix</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#BlockMatrix.toIndexedRowMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.BlockMatrix.toIndexedRowMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Convert this matrix to an IndexedRowMatrix.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">blocks</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">])),</span>
<span class="gp">... </span> <span class="p">((</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">11</span><span class="p">,</span> <span class="mi">12</span><span class="p">]))])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">BlockMatrix</span><span class="p">(</span><span class="n">blocks</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span><span class="o">.</span><span class="n">toIndexedRowMatrix</span><span class="p">()</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="c"># This BlockMatrix will have 6 effective rows, due to</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># having two sub-matrix blocks stacked, each with 3 rows.</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># The ensuing IndexedRowMatrix will also have 6 rows.</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numRows</span><span class="p">())</span>
<span class="go">6</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="c"># This BlockMatrix will have 2 effective columns, due to</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># having two sub-matrix blocks stacked, each with 2 columns.</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># The ensuing IndexedRowMatrix will also have 2 columns.</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numCols</span><span class="p">())</span>
<span class="go">2</span>
</pre></div>
</div>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.linalg.distributed.BlockMatrix.toLocalMatrix">
<tt class="descname">toLocalMatrix</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/linalg/distributed.html#BlockMatrix.toLocalMatrix"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.linalg.distributed.BlockMatrix.toLocalMatrix" title="Permalink to this definition"></a></dt>
<dd><p>Collect the distributed matrix on the driver as a DenseMatrix.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">blocks</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">])),</span>
<span class="gp">... </span> <span class="p">((</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">[</span><span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">11</span><span class="p">,</span> <span class="mi">12</span><span class="p">]))])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">BlockMatrix</span><span class="p">(</span><span class="n">blocks</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span><span class="o">.</span><span class="n">toLocalMatrix</span><span class="p">()</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="c"># This BlockMatrix will have 6 effective rows, due to</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># having two sub-matrix blocks stacked, each with 3 rows.</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># The ensuing DenseMatrix will also have 6 rows.</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numRows</span><span class="p">)</span>
<span class="go">6</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="c"># This BlockMatrix will have 2 effective columns, due to</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># having two sub-matrix blocks stacked, each with 2</span>
<span class="gp">&gt;&gt;&gt; </span><span class="c"># columns. The ensuing DenseMatrix will also have 2 columns.</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">numCols</span><span class="p">)</span>
<span class="go">2</span>
</pre></div>
</div>
</dd></dl>
</dd></dl>
</div>
<div class="section" id="module-pyspark.mllib.random">
<span id="pyspark-mllib-random-module"></span><h2>pyspark.mllib.random module<a class="headerlink" href="#module-pyspark.mllib.random" title="Permalink to this headline"></a></h2>
<p>Python package for random data generation.</p>
<dl class="class">
<dt id="pyspark.mllib.random.RandomRDDs">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.random.</tt><tt class="descname">RandomRDDs</tt><a class="reference internal" href="_modules/pyspark/mllib/random.html#RandomRDDs"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.random.RandomRDDs" title="Permalink to this definition"></a></dt>
<dd><p>Generator methods for creating RDDs comprised of i.i.d samples from
some distribution.</p>
<dl class="staticmethod">
<dt id="pyspark.mllib.random.RandomRDDs.exponentialRDD">
<em class="property">static </em><tt class="descname">exponentialRDD</tt><big>(</big><em>sc</em>, <em>mean</em>, <em>size</em>, <em>numPartitions=None</em>, <em>seed=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/random.html#RandomRDDs.exponentialRDD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.random.RandomRDDs.exponentialRDD" title="Permalink to this definition"></a></dt>
<dd><p>Generates an RDD comprised of i.i.d. samples from the Exponential
distribution with the input mean.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>sc</strong> &#8211; SparkContext used to create the RDD.</li>
<li><strong>mean</strong> &#8211; Mean, or 1 / lambda, for the Exponential distribution.</li>
<li><strong>size</strong> &#8211; Size of the RDD.</li>
<li><strong>numPartitions</strong> &#8211; Number of partitions in the RDD (default: <cite>sc.defaultParallelism</cite>).</li>
<li><strong>seed</strong> &#8211; Random seed (default: a random long integer).</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">RDD of float comprised of i.i.d. samples ~ Exp(mean).</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mean</span> <span class="o">=</span> <span class="mf">2.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">x</span> <span class="o">=</span> <span class="n">RandomRDDs</span><span class="o">.</span><span class="n">exponentialRDD</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">mean</span><span class="p">,</span> <span class="mi">1000</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stats</span> <span class="o">=</span> <span class="n">x</span><span class="o">.</span><span class="n">stats</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stats</span><span class="o">.</span><span class="n">count</span><span class="p">()</span>
<span class="go">1000</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">stats</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span> <span class="o">-</span> <span class="n">mean</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">sqrt</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">stats</span><span class="o">.</span><span class="n">stdev</span><span class="p">()</span> <span class="o">-</span> <span class="n">sqrt</span><span class="p">(</span><span class="n">mean</span><span class="p">))</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.random.RandomRDDs.exponentialVectorRDD">
<em class="property">static </em><tt class="descname">exponentialVectorRDD</tt><big>(</big><em>sc</em>, <em>*a</em>, <em>**kw</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/random.html#RandomRDDs.exponentialVectorRDD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.random.RandomRDDs.exponentialVectorRDD" title="Permalink to this definition"></a></dt>
<dd><p>Generates an RDD comprised of vectors containing i.i.d. samples drawn
from the Exponential distribution with the input mean.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>sc</strong> &#8211; SparkContext used to create the RDD.</li>
<li><strong>mean</strong> &#8211; Mean, or 1 / lambda, for the Exponential distribution.</li>
<li><strong>numRows</strong> &#8211; Number of Vectors in the RDD.</li>
<li><strong>numCols</strong> &#8211; Number of elements in each Vector.</li>
<li><strong>numPartitions</strong> &#8211; Number of partitions in the RDD (default: <cite>sc.defaultParallelism</cite>)</li>
<li><strong>seed</strong> &#8211; Random seed (default: a random long integer).</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">RDD of Vector with vectors containing i.i.d. samples ~ Exp(mean).</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mean</span> <span class="o">=</span> <span class="mf">0.5</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">RandomRDDs</span><span class="o">.</span><span class="n">exponentialVectorRDD</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">mean</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">mat</span><span class="p">(</span><span class="n">rdd</span><span class="o">.</span><span class="n">collect</span><span class="p">())</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span><span class="o">.</span><span class="n">shape</span>
<span class="go">(100, 100)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span> <span class="o">-</span> <span class="n">mean</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">sqrt</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">std</span><span class="p">()</span> <span class="o">-</span> <span class="n">sqrt</span><span class="p">(</span><span class="n">mean</span><span class="p">))</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.random.RandomRDDs.gammaRDD">
<em class="property">static </em><tt class="descname">gammaRDD</tt><big>(</big><em>sc</em>, <em>shape</em>, <em>scale</em>, <em>size</em>, <em>numPartitions=None</em>, <em>seed=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/random.html#RandomRDDs.gammaRDD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.random.RandomRDDs.gammaRDD" title="Permalink to this definition"></a></dt>
<dd><p>Generates an RDD comprised of i.i.d. samples from the Gamma
distribution with the input shape and scale.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>sc</strong> &#8211; SparkContext used to create the RDD.</li>
<li><strong>shape</strong> &#8211; shape (&gt; 0) parameter for the Gamma distribution</li>
<li><strong>scale</strong> &#8211; scale (&gt; 0) parameter for the Gamma distribution</li>
<li><strong>size</strong> &#8211; Size of the RDD.</li>
<li><strong>numPartitions</strong> &#8211; Number of partitions in the RDD (default: <cite>sc.defaultParallelism</cite>).</li>
<li><strong>seed</strong> &#8211; Random seed (default: a random long integer).</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">RDD of float comprised of i.i.d. samples ~ Gamma(shape, scale).</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">sqrt</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">shape</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">scale</span> <span class="o">=</span> <span class="mf">2.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">expMean</span> <span class="o">=</span> <span class="n">shape</span> <span class="o">*</span> <span class="n">scale</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">expStd</span> <span class="o">=</span> <span class="n">sqrt</span><span class="p">(</span><span class="n">shape</span> <span class="o">*</span> <span class="n">scale</span> <span class="o">*</span> <span class="n">scale</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">x</span> <span class="o">=</span> <span class="n">RandomRDDs</span><span class="o">.</span><span class="n">gammaRDD</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">shape</span><span class="p">,</span> <span class="n">scale</span><span class="p">,</span> <span class="mi">1000</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stats</span> <span class="o">=</span> <span class="n">x</span><span class="o">.</span><span class="n">stats</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stats</span><span class="o">.</span><span class="n">count</span><span class="p">()</span>
<span class="go">1000</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">stats</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span> <span class="o">-</span> <span class="n">expMean</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">stats</span><span class="o">.</span><span class="n">stdev</span><span class="p">()</span> <span class="o">-</span> <span class="n">expStd</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.random.RandomRDDs.gammaVectorRDD">
<em class="property">static </em><tt class="descname">gammaVectorRDD</tt><big>(</big><em>sc</em>, <em>*a</em>, <em>**kw</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/random.html#RandomRDDs.gammaVectorRDD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.random.RandomRDDs.gammaVectorRDD" title="Permalink to this definition"></a></dt>
<dd><p>Generates an RDD comprised of vectors containing i.i.d. samples drawn
from the Gamma distribution.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>sc</strong> &#8211; SparkContext used to create the RDD.</li>
<li><strong>shape</strong> &#8211; Shape (&gt; 0) of the Gamma distribution</li>
<li><strong>scale</strong> &#8211; Scale (&gt; 0) of the Gamma distribution</li>
<li><strong>numRows</strong> &#8211; Number of Vectors in the RDD.</li>
<li><strong>numCols</strong> &#8211; Number of elements in each Vector.</li>
<li><strong>numPartitions</strong> &#8211; Number of partitions in the RDD (default: <cite>sc.defaultParallelism</cite>).</li>
<li><strong>seed</strong> &#8211; Random seed (default: a random long integer).</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">RDD of Vector with vectors containing i.i.d. samples ~ Gamma(shape, scale).</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">sqrt</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">shape</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">scale</span> <span class="o">=</span> <span class="mf">2.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">expMean</span> <span class="o">=</span> <span class="n">shape</span> <span class="o">*</span> <span class="n">scale</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">expStd</span> <span class="o">=</span> <span class="n">sqrt</span><span class="p">(</span><span class="n">shape</span> <span class="o">*</span> <span class="n">scale</span> <span class="o">*</span> <span class="n">scale</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">matrix</span><span class="p">(</span><span class="n">RandomRDDs</span><span class="o">.</span><span class="n">gammaVectorRDD</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">shape</span><span class="p">,</span> <span class="n">scale</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">())</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span><span class="o">.</span><span class="n">shape</span>
<span class="go">(100, 100)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span> <span class="o">-</span> <span class="n">expMean</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.1</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">std</span><span class="p">()</span> <span class="o">-</span> <span class="n">expStd</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.1</span>
<span class="go">True</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.random.RandomRDDs.logNormalRDD">
<em class="property">static </em><tt class="descname">logNormalRDD</tt><big>(</big><em>sc</em>, <em>mean</em>, <em>std</em>, <em>size</em>, <em>numPartitions=None</em>, <em>seed=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/random.html#RandomRDDs.logNormalRDD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.random.RandomRDDs.logNormalRDD" title="Permalink to this definition"></a></dt>
<dd><p>Generates an RDD comprised of i.i.d. samples from the log normal
distribution with the input mean and standard distribution.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>sc</strong> &#8211; SparkContext used to create the RDD.</li>
<li><strong>mean</strong> &#8211; mean for the log Normal distribution</li>
<li><strong>std</strong> &#8211; std for the log Normal distribution</li>
<li><strong>size</strong> &#8211; Size of the RDD.</li>
<li><strong>numPartitions</strong> &#8211; Number of partitions in the RDD (default: <cite>sc.defaultParallelism</cite>).</li>
<li><strong>seed</strong> &#8211; Random seed (default: a random long integer).</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">RDD of float comprised of i.i.d. samples ~ log N(mean, std).</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">sqrt</span><span class="p">,</span> <span class="n">exp</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mean</span> <span class="o">=</span> <span class="mf">0.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">std</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">expMean</span> <span class="o">=</span> <span class="n">exp</span><span class="p">(</span><span class="n">mean</span> <span class="o">+</span> <span class="mf">0.5</span> <span class="o">*</span> <span class="n">std</span> <span class="o">*</span> <span class="n">std</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">expStd</span> <span class="o">=</span> <span class="n">sqrt</span><span class="p">((</span><span class="n">exp</span><span class="p">(</span><span class="n">std</span> <span class="o">*</span> <span class="n">std</span><span class="p">)</span> <span class="o">-</span> <span class="mf">1.0</span><span class="p">)</span> <span class="o">*</span> <span class="n">exp</span><span class="p">(</span><span class="mf">2.0</span> <span class="o">*</span> <span class="n">mean</span> <span class="o">+</span> <span class="n">std</span> <span class="o">*</span> <span class="n">std</span><span class="p">))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">x</span> <span class="o">=</span> <span class="n">RandomRDDs</span><span class="o">.</span><span class="n">logNormalRDD</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">mean</span><span class="p">,</span> <span class="n">std</span><span class="p">,</span> <span class="mi">1000</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stats</span> <span class="o">=</span> <span class="n">x</span><span class="o">.</span><span class="n">stats</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stats</span><span class="o">.</span><span class="n">count</span><span class="p">()</span>
<span class="go">1000</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">stats</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span> <span class="o">-</span> <span class="n">expMean</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">sqrt</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">stats</span><span class="o">.</span><span class="n">stdev</span><span class="p">()</span> <span class="o">-</span> <span class="n">expStd</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.random.RandomRDDs.logNormalVectorRDD">
<em class="property">static </em><tt class="descname">logNormalVectorRDD</tt><big>(</big><em>sc</em>, <em>*a</em>, <em>**kw</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/random.html#RandomRDDs.logNormalVectorRDD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.random.RandomRDDs.logNormalVectorRDD" title="Permalink to this definition"></a></dt>
<dd><p>Generates an RDD comprised of vectors containing i.i.d. samples drawn
from the log normal distribution.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>sc</strong> &#8211; SparkContext used to create the RDD.</li>
<li><strong>mean</strong> &#8211; Mean of the log normal distribution</li>
<li><strong>std</strong> &#8211; Standard Deviation of the log normal distribution</li>
<li><strong>numRows</strong> &#8211; Number of Vectors in the RDD.</li>
<li><strong>numCols</strong> &#8211; Number of elements in each Vector.</li>
<li><strong>numPartitions</strong> &#8211; Number of partitions in the RDD (default: <cite>sc.defaultParallelism</cite>).</li>
<li><strong>seed</strong> &#8211; Random seed (default: a random long integer).</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">RDD of Vector with vectors containing i.i.d. samples ~ log <cite>N(mean, std)</cite>.</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">sqrt</span><span class="p">,</span> <span class="n">exp</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mean</span> <span class="o">=</span> <span class="mf">0.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">std</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">expMean</span> <span class="o">=</span> <span class="n">exp</span><span class="p">(</span><span class="n">mean</span> <span class="o">+</span> <span class="mf">0.5</span> <span class="o">*</span> <span class="n">std</span> <span class="o">*</span> <span class="n">std</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">expStd</span> <span class="o">=</span> <span class="n">sqrt</span><span class="p">((</span><span class="n">exp</span><span class="p">(</span><span class="n">std</span> <span class="o">*</span> <span class="n">std</span><span class="p">)</span> <span class="o">-</span> <span class="mf">1.0</span><span class="p">)</span> <span class="o">*</span> <span class="n">exp</span><span class="p">(</span><span class="mf">2.0</span> <span class="o">*</span> <span class="n">mean</span> <span class="o">+</span> <span class="n">std</span> <span class="o">*</span> <span class="n">std</span><span class="p">))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">m</span> <span class="o">=</span> <span class="n">RandomRDDs</span><span class="o">.</span><span class="n">logNormalVectorRDD</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">mean</span><span class="p">,</span> <span class="n">std</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">matrix</span><span class="p">(</span><span class="n">m</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span><span class="o">.</span><span class="n">shape</span>
<span class="go">(100, 100)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span> <span class="o">-</span> <span class="n">expMean</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.1</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">std</span><span class="p">()</span> <span class="o">-</span> <span class="n">expStd</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.1</span>
<span class="go">True</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.random.RandomRDDs.normalRDD">
<em class="property">static </em><tt class="descname">normalRDD</tt><big>(</big><em>sc</em>, <em>size</em>, <em>numPartitions=None</em>, <em>seed=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/random.html#RandomRDDs.normalRDD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.random.RandomRDDs.normalRDD" title="Permalink to this definition"></a></dt>
<dd><p>Generates an RDD comprised of i.i.d. samples from the standard normal
distribution.</p>
<p>To transform the distribution in the generated RDD from standard normal
to some other normal N(mean, sigma^2), use
<cite>RandomRDDs.normal(sc, n, p, seed) .map(lambda v: mean + sigma * v)</cite></p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>sc</strong> &#8211; SparkContext used to create the RDD.</li>
<li><strong>size</strong> &#8211; Size of the RDD.</li>
<li><strong>numPartitions</strong> &#8211; Number of partitions in the RDD (default: <cite>sc.defaultParallelism</cite>).</li>
<li><strong>seed</strong> &#8211; Random seed (default: a random long integer).</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">RDD of float comprised of i.i.d. samples ~ N(0.0, 1.0).</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">x</span> <span class="o">=</span> <span class="n">RandomRDDs</span><span class="o">.</span><span class="n">normalRDD</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="mi">1000</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stats</span> <span class="o">=</span> <span class="n">x</span><span class="o">.</span><span class="n">stats</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stats</span><span class="o">.</span><span class="n">count</span><span class="p">()</span>
<span class="go">1000</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">stats</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span> <span class="o">-</span> <span class="mf">0.0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.1</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">stats</span><span class="o">.</span><span class="n">stdev</span><span class="p">()</span> <span class="o">-</span> <span class="mf">1.0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.1</span>
<span class="go">True</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.random.RandomRDDs.normalVectorRDD">
<em class="property">static </em><tt class="descname">normalVectorRDD</tt><big>(</big><em>sc</em>, <em>*a</em>, <em>**kw</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/random.html#RandomRDDs.normalVectorRDD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.random.RandomRDDs.normalVectorRDD" title="Permalink to this definition"></a></dt>
<dd><p>Generates an RDD comprised of vectors containing i.i.d. samples drawn
from the standard normal distribution.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>sc</strong> &#8211; SparkContext used to create the RDD.</li>
<li><strong>numRows</strong> &#8211; Number of Vectors in the RDD.</li>
<li><strong>numCols</strong> &#8211; Number of elements in each Vector.</li>
<li><strong>numPartitions</strong> &#8211; Number of partitions in the RDD (default: <cite>sc.defaultParallelism</cite>).</li>
<li><strong>seed</strong> &#8211; Random seed (default: a random long integer).</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">RDD of Vector with vectors containing i.i.d. samples ~ <cite>N(0.0, 1.0)</cite>.</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">matrix</span><span class="p">(</span><span class="n">RandomRDDs</span><span class="o">.</span><span class="n">normalVectorRDD</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">())</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span><span class="o">.</span><span class="n">shape</span>
<span class="go">(100, 100)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span> <span class="o">-</span> <span class="mf">0.0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.1</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">std</span><span class="p">()</span> <span class="o">-</span> <span class="mf">1.0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.1</span>
<span class="go">True</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.random.RandomRDDs.poissonRDD">
<em class="property">static </em><tt class="descname">poissonRDD</tt><big>(</big><em>sc</em>, <em>mean</em>, <em>size</em>, <em>numPartitions=None</em>, <em>seed=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/random.html#RandomRDDs.poissonRDD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.random.RandomRDDs.poissonRDD" title="Permalink to this definition"></a></dt>
<dd><p>Generates an RDD comprised of i.i.d. samples from the Poisson
distribution with the input mean.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>sc</strong> &#8211; SparkContext used to create the RDD.</li>
<li><strong>mean</strong> &#8211; Mean, or lambda, for the Poisson distribution.</li>
<li><strong>size</strong> &#8211; Size of the RDD.</li>
<li><strong>numPartitions</strong> &#8211; Number of partitions in the RDD (default: <cite>sc.defaultParallelism</cite>).</li>
<li><strong>seed</strong> &#8211; Random seed (default: a random long integer).</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">RDD of float comprised of i.i.d. samples ~ Pois(mean).</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">mean</span> <span class="o">=</span> <span class="mf">100.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">x</span> <span class="o">=</span> <span class="n">RandomRDDs</span><span class="o">.</span><span class="n">poissonRDD</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">mean</span><span class="p">,</span> <span class="mi">1000</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stats</span> <span class="o">=</span> <span class="n">x</span><span class="o">.</span><span class="n">stats</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">stats</span><span class="o">.</span><span class="n">count</span><span class="p">()</span>
<span class="go">1000</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">stats</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span> <span class="o">-</span> <span class="n">mean</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">sqrt</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">stats</span><span class="o">.</span><span class="n">stdev</span><span class="p">()</span> <span class="o">-</span> <span class="n">sqrt</span><span class="p">(</span><span class="n">mean</span><span class="p">))</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.random.RandomRDDs.poissonVectorRDD">
<em class="property">static </em><tt class="descname">poissonVectorRDD</tt><big>(</big><em>sc</em>, <em>*a</em>, <em>**kw</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/random.html#RandomRDDs.poissonVectorRDD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.random.RandomRDDs.poissonVectorRDD" title="Permalink to this definition"></a></dt>
<dd><p>Generates an RDD comprised of vectors containing i.i.d. samples drawn
from the Poisson distribution with the input mean.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>sc</strong> &#8211; SparkContext used to create the RDD.</li>
<li><strong>mean</strong> &#8211; Mean, or lambda, for the Poisson distribution.</li>
<li><strong>numRows</strong> &#8211; Number of Vectors in the RDD.</li>
<li><strong>numCols</strong> &#8211; Number of elements in each Vector.</li>
<li><strong>numPartitions</strong> &#8211; Number of partitions in the RDD (default: <cite>sc.defaultParallelism</cite>)</li>
<li><strong>seed</strong> &#8211; Random seed (default: a random long integer).</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">RDD of Vector with vectors containing i.i.d. samples ~ Pois(mean).</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mean</span> <span class="o">=</span> <span class="mf">100.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">RandomRDDs</span><span class="o">.</span><span class="n">poissonVectorRDD</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">mean</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">mat</span><span class="p">(</span><span class="n">rdd</span><span class="o">.</span><span class="n">collect</span><span class="p">())</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span><span class="o">.</span><span class="n">shape</span>
<span class="go">(100, 100)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span> <span class="o">-</span> <span class="n">mean</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">sqrt</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">mat</span><span class="o">.</span><span class="n">std</span><span class="p">()</span> <span class="o">-</span> <span class="n">sqrt</span><span class="p">(</span><span class="n">mean</span><span class="p">))</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.random.RandomRDDs.uniformRDD">
<em class="property">static </em><tt class="descname">uniformRDD</tt><big>(</big><em>sc</em>, <em>size</em>, <em>numPartitions=None</em>, <em>seed=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/random.html#RandomRDDs.uniformRDD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.random.RandomRDDs.uniformRDD" title="Permalink to this definition"></a></dt>
<dd><p>Generates an RDD comprised of i.i.d. samples from the
uniform distribution U(0.0, 1.0).</p>
<p>To transform the distribution in the generated RDD from U(0.0, 1.0)
to U(a, b), use
<cite>RandomRDDs.uniformRDD(sc, n, p, seed) .map(lambda v: a + (b - a) * v)</cite></p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>sc</strong> &#8211; SparkContext used to create the RDD.</li>
<li><strong>size</strong> &#8211; Size of the RDD.</li>
<li><strong>numPartitions</strong> &#8211; Number of partitions in the RDD (default: <cite>sc.defaultParallelism</cite>).</li>
<li><strong>seed</strong> &#8211; Random seed (default: a random long integer).</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">RDD of float comprised of i.i.d. samples ~ <cite>U(0.0, 1.0)</cite>.</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">x</span> <span class="o">=</span> <span class="n">RandomRDDs</span><span class="o">.</span><span class="n">uniformRDD</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="mi">100</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
<span class="go">100</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">max</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> <span class="o">&lt;=</span> <span class="mf">1.0</span> <span class="ow">and</span> <span class="nb">min</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> <span class="o">&gt;=</span> <span class="mf">0.0</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">RandomRDDs</span><span class="o">.</span><span class="n">uniformRDD</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="mi">4</span><span class="p">)</span><span class="o">.</span><span class="n">getNumPartitions</span><span class="p">()</span>
<span class="go">4</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">parts</span> <span class="o">=</span> <span class="n">RandomRDDs</span><span class="o">.</span><span class="n">uniformRDD</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">4</span><span class="p">)</span><span class="o">.</span><span class="n">getNumPartitions</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">parts</span> <span class="o">==</span> <span class="n">sc</span><span class="o">.</span><span class="n">defaultParallelism</span>
<span class="go">True</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.random.RandomRDDs.uniformVectorRDD">
<em class="property">static </em><tt class="descname">uniformVectorRDD</tt><big>(</big><em>sc</em>, <em>*a</em>, <em>**kw</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/random.html#RandomRDDs.uniformVectorRDD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.random.RandomRDDs.uniformVectorRDD" title="Permalink to this definition"></a></dt>
<dd><p>Generates an RDD comprised of vectors containing i.i.d. samples drawn
from the uniform distribution U(0.0, 1.0).</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>sc</strong> &#8211; SparkContext used to create the RDD.</li>
<li><strong>numRows</strong> &#8211; Number of Vectors in the RDD.</li>
<li><strong>numCols</strong> &#8211; Number of elements in each Vector.</li>
<li><strong>numPartitions</strong> &#8211; Number of partitions in the RDD.</li>
<li><strong>seed</strong> &#8211; Seed for the RNG that generates the seed for the generator in each partition.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">RDD of Vector with vectors containing i.i.d samples ~ <cite>U(0.0, 1.0)</cite>.</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">matrix</span><span class="p">(</span><span class="n">RandomRDDs</span><span class="o">.</span><span class="n">uniformVectorRDD</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">10</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">())</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span><span class="o">.</span><span class="n">shape</span>
<span class="go">(10, 10)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">mat</span><span class="o">.</span><span class="n">max</span><span class="p">()</span> <span class="o">&lt;=</span> <span class="mf">1.0</span> <span class="ow">and</span> <span class="n">mat</span><span class="o">.</span><span class="n">min</span><span class="p">()</span> <span class="o">&gt;=</span> <span class="mf">0.0</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">RandomRDDs</span><span class="o">.</span><span class="n">uniformVectorRDD</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">4</span><span class="p">)</span><span class="o">.</span><span class="n">getNumPartitions</span><span class="p">()</span>
<span class="go">4</span>
</pre></div>
</div>
</dd></dl>
</dd></dl>
</div>
<div class="section" id="module-pyspark.mllib.recommendation">
<span id="pyspark-mllib-recommendation-module"></span><h2>pyspark.mllib.recommendation module<a class="headerlink" href="#module-pyspark.mllib.recommendation" title="Permalink to this headline"></a></h2>
<dl class="class">
<dt id="pyspark.mllib.recommendation.MatrixFactorizationModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.recommendation.</tt><tt class="descname">MatrixFactorizationModel</tt><big>(</big><em>java_model</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/recommendation.html#MatrixFactorizationModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.recommendation.MatrixFactorizationModel" title="Permalink to this definition"></a></dt>
<dd><p>A matrix factorisation model trained by regularized alternating
least-squares.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">r1</span> <span class="o">=</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">r2</span> <span class="o">=</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">r3</span> <span class="o">=</span> <span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">ratings</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">r1</span><span class="p">,</span> <span class="n">r2</span><span class="p">,</span> <span class="n">r3</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">ALS</span><span class="o">.</span><span class="n">trainImplicit</span><span class="p">(</span><span class="n">ratings</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="go">0.4...</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">testset</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">)])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">ALS</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">ratings</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">0</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predictAll</span><span class="p">(</span><span class="n">testset</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[Rating(user=1, product=1, rating=1.0...), Rating(user=1, product=2, rating=1.9...)]</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">ALS</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">ratings</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">userFeatures</span><span class="p">()</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[(1, array(&#39;d&#39;, [...])), (2, array(&#39;d&#39;, [...]))]</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">recommendUsers</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="go">[Rating(user=2, product=1, rating=1.9...), Rating(user=1, product=1, rating=1.0...)]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">recommendProducts</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="go">[Rating(user=1, product=2, rating=1.9...), Rating(user=1, product=1, rating=1.0...)]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">rank</span>
<span class="go">4</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">first_user</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">userFeatures</span><span class="p">()</span><span class="o">.</span><span class="n">take</span><span class="p">(</span><span class="mi">1</span><span class="p">)[</span><span class="mi">0</span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">latents</span> <span class="o">=</span> <span class="n">first_user</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">len</span><span class="p">(</span><span class="n">latents</span><span class="p">)</span> <span class="o">==</span> <span class="mi">4</span>
<span class="go">True</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">productFeatures</span><span class="p">()</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[(1, array(&#39;d&#39;, [...])), (2, array(&#39;d&#39;, [...]))]</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">first_product</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">productFeatures</span><span class="p">()</span><span class="o">.</span><span class="n">take</span><span class="p">(</span><span class="mi">1</span><span class="p">)[</span><span class="mi">0</span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">latents</span> <span class="o">=</span> <span class="n">first_product</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">len</span><span class="p">(</span><span class="n">latents</span><span class="p">)</span> <span class="o">==</span> <span class="mi">4</span>
<span class="go">True</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">ALS</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">ratings</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="n">nonnegative</span><span class="o">=</span><span class="bp">True</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="go">3.8...</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">df</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="p">([</span><span class="n">Rating</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">),</span> <span class="n">Rating</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">),</span> <span class="n">Rating</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">)])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">ALS</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">df</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="n">nonnegative</span><span class="o">=</span><span class="bp">True</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="go">3.8...</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">ALS</span><span class="o">.</span><span class="n">trainImplicit</span><span class="p">(</span><span class="n">ratings</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="n">nonnegative</span><span class="o">=</span><span class="bp">True</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="go">0.4...</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">os</span><span class="o">,</span> <span class="nn">tempfile</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">path</span> <span class="o">=</span> <span class="n">tempfile</span><span class="o">.</span><span class="n">mkdtemp</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span> <span class="o">=</span> <span class="n">MatrixFactorizationModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="go">0.4...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span><span class="o">.</span><span class="n">predictAll</span><span class="p">(</span><span class="n">testset</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[Rating(...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">shutil</span> <span class="kn">import</span> <span class="n">rmtree</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">try</span><span class="p">:</span>
<span class="gp">... </span> <span class="n">rmtree</span><span class="p">(</span><span class="n">path</span><span class="p">)</span>
<span class="gp">... </span><span class="k">except</span> <span class="ne">OSError</span><span class="p">:</span>
<span class="gp">... </span> <span class="k">pass</span>
</pre></div>
</div>
<dl class="classmethod">
<dt id="pyspark.mllib.recommendation.MatrixFactorizationModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/recommendation.html#MatrixFactorizationModel.load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.recommendation.MatrixFactorizationModel.load" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.recommendation.MatrixFactorizationModel.predict">
<tt class="descname">predict</tt><big>(</big><em>user</em>, <em>product</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/recommendation.html#MatrixFactorizationModel.predict"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.recommendation.MatrixFactorizationModel.predict" title="Permalink to this definition"></a></dt>
<dd><p>Predicts rating for the given user and product.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.recommendation.MatrixFactorizationModel.predictAll">
<tt class="descname">predictAll</tt><big>(</big><em>user_product</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/recommendation.html#MatrixFactorizationModel.predictAll"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.recommendation.MatrixFactorizationModel.predictAll" title="Permalink to this definition"></a></dt>
<dd><p>Returns a list of predicted ratings for input user and product pairs.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.recommendation.MatrixFactorizationModel.productFeatures">
<tt class="descname">productFeatures</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/recommendation.html#MatrixFactorizationModel.productFeatures"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.recommendation.MatrixFactorizationModel.productFeatures" title="Permalink to this definition"></a></dt>
<dd><p>Returns a paired RDD, where the first element is the product and the
second is an array of features corresponding to that product.</p>
</dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.recommendation.MatrixFactorizationModel.rank">
<tt class="descname">rank</tt><a class="reference internal" href="_modules/pyspark/mllib/recommendation.html#MatrixFactorizationModel.rank"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.recommendation.MatrixFactorizationModel.rank" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.recommendation.MatrixFactorizationModel.recommendProducts">
<tt class="descname">recommendProducts</tt><big>(</big><em>user</em>, <em>num</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/recommendation.html#MatrixFactorizationModel.recommendProducts"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.recommendation.MatrixFactorizationModel.recommendProducts" title="Permalink to this definition"></a></dt>
<dd><p>Recommends the top &#8220;num&#8221; number of products for a given user and returns a list
of Rating objects sorted by the predicted rating in descending order.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.recommendation.MatrixFactorizationModel.recommendUsers">
<tt class="descname">recommendUsers</tt><big>(</big><em>product</em>, <em>num</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/recommendation.html#MatrixFactorizationModel.recommendUsers"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.recommendation.MatrixFactorizationModel.recommendUsers" title="Permalink to this definition"></a></dt>
<dd><p>Recommends the top &#8220;num&#8221; number of users for a given product and returns a list
of Rating objects sorted by the predicted rating in descending order.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.recommendation.MatrixFactorizationModel.userFeatures">
<tt class="descname">userFeatures</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/recommendation.html#MatrixFactorizationModel.userFeatures"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.recommendation.MatrixFactorizationModel.userFeatures" title="Permalink to this definition"></a></dt>
<dd><p>Returns a paired RDD, where the first element is the user and the
second is an array of features corresponding to that user.</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.recommendation.ALS">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.recommendation.</tt><tt class="descname">ALS</tt><a class="reference internal" href="_modules/pyspark/mllib/recommendation.html#ALS"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.recommendation.ALS" title="Permalink to this definition"></a></dt>
<dd><dl class="classmethod">
<dt id="pyspark.mllib.recommendation.ALS.train">
<em class="property">classmethod </em><tt class="descname">train</tt><big>(</big><em>ratings</em>, <em>rank</em>, <em>iterations=5</em>, <em>lambda_=0.01</em>, <em>blocks=-1</em>, <em>nonnegative=False</em>, <em>seed=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/recommendation.html#ALS.train"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.recommendation.ALS.train" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.recommendation.ALS.trainImplicit">
<em class="property">classmethod </em><tt class="descname">trainImplicit</tt><big>(</big><em>ratings</em>, <em>rank</em>, <em>iterations=5</em>, <em>lambda_=0.01</em>, <em>blocks=-1</em>, <em>alpha=0.01</em>, <em>nonnegative=False</em>, <em>seed=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/recommendation.html#ALS.trainImplicit"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.recommendation.ALS.trainImplicit" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.recommendation.Rating">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.recommendation.</tt><tt class="descname">Rating</tt><a class="reference internal" href="_modules/pyspark/mllib/recommendation.html#Rating"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.recommendation.Rating" title="Permalink to this definition"></a></dt>
<dd><p>Represents a (user, product, rating) tuple.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">r</span> <span class="o">=</span> <span class="n">Rating</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mf">5.0</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="p">(</span><span class="n">r</span><span class="o">.</span><span class="n">user</span><span class="p">,</span> <span class="n">r</span><span class="o">.</span><span class="n">product</span><span class="p">,</span> <span class="n">r</span><span class="o">.</span><span class="n">rating</span><span class="p">)</span>
<span class="go">(1, 2, 5.0)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="p">(</span><span class="n">r</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">r</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="n">r</span><span class="p">[</span><span class="mi">2</span><span class="p">])</span>
<span class="go">(1, 2, 5.0)</span>
</pre></div>
</div>
</dd></dl>
</div>
<div class="section" id="module-pyspark.mllib.regression">
<span id="pyspark-mllib-regression-module"></span><h2>pyspark.mllib.regression module<a class="headerlink" href="#module-pyspark.mllib.regression" title="Permalink to this headline"></a></h2>
<dl class="class">
<dt id="pyspark.mllib.regression.LabeledPoint">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.regression.</tt><tt class="descname">LabeledPoint</tt><big>(</big><em>label</em>, <em>features</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#LabeledPoint"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.LabeledPoint" title="Permalink to this definition"></a></dt>
<dd><p>Class that represents the features and labels of a data point.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>label</strong> &#8211; Label for this data point.</li>
<li><strong>features</strong> &#8211; Vector of features for this point (NumPy array,
list, pyspark.mllib.linalg.SparseVector, or scipy.sparse
column matrix)</li>
</ul>
</td>
</tr>
</tbody>
</table>
<p>Note: &#8216;label&#8217; and &#8216;features&#8217; are accessible as class attributes.</p>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.regression.LinearModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.regression.</tt><tt class="descname">LinearModel</tt><big>(</big><em>weights</em>, <em>intercept</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#LinearModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.LinearModel" title="Permalink to this definition"></a></dt>
<dd><p>A linear model that has a vector of coefficients and an intercept.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>weights</strong> &#8211; Weights computed for every feature.</li>
<li><strong>intercept</strong> &#8211; Intercept computed for this model.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<dl class="attribute">
<dt id="pyspark.mllib.regression.LinearModel.intercept">
<tt class="descname">intercept</tt><a class="reference internal" href="_modules/pyspark/mllib/regression.html#LinearModel.intercept"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.LinearModel.intercept" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.regression.LinearModel.weights">
<tt class="descname">weights</tt><a class="reference internal" href="_modules/pyspark/mllib/regression.html#LinearModel.weights"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.LinearModel.weights" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.regression.LinearRegressionModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.regression.</tt><tt class="descname">LinearRegressionModel</tt><big>(</big><em>weights</em>, <em>intercept</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#LinearRegressionModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.LinearRegressionModel" title="Permalink to this definition"></a></dt>
<dd><p>A linear regression model derived from a least-squares fit.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">3.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">2.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">2.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">3.0</span><span class="p">])</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span> <span class="o">=</span> <span class="n">LinearRegressionWithSGD</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span>
<span class="gp">... </span> <span class="n">initialWeights</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="mf">1.0</span><span class="p">]]))</span><span class="o">.</span><span class="n">collect</span><span class="p">()[</span><span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">os</span><span class="o">,</span> <span class="nn">tempfile</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">path</span> <span class="o">=</span> <span class="n">tempfile</span><span class="o">.</span><span class="n">mkdtemp</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span> <span class="o">=</span> <span class="n">LinearRegressionModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">shutil</span> <span class="kn">import</span> <span class="n">rmtree</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">try</span><span class="p">:</span>
<span class="gp">... </span> <span class="n">rmtree</span><span class="p">(</span><span class="n">path</span><span class="p">)</span>
<span class="gp">... </span><span class="k">except</span><span class="p">:</span>
<span class="gp">... </span> <span class="k">pass</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">0.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">3.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">2.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">2.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">3.0</span><span class="p">}))</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span> <span class="o">=</span> <span class="n">LinearRegressionWithSGD</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span>
<span class="gp">... </span> <span class="n">initialWeights</span><span class="o">=</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span> <span class="o">=</span> <span class="n">LinearRegressionWithSGD</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span> <span class="n">step</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span>
<span class="gp">... </span> <span class="n">miniBatchFraction</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">initialWeights</span><span class="o">=</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]),</span> <span class="n">regParam</span><span class="o">=</span><span class="mf">0.1</span><span class="p">,</span> <span class="n">regType</span><span class="o">=</span><span class="s">&quot;l2&quot;</span><span class="p">,</span>
<span class="gp">... </span> <span class="n">intercept</span><span class="o">=</span><span class="bp">True</span><span class="p">,</span> <span class="n">validateData</span><span class="o">=</span><span class="bp">True</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
</pre></div>
</div>
<dl class="attribute">
<dt id="pyspark.mllib.regression.LinearRegressionModel.intercept">
<tt class="descname">intercept</tt><a class="headerlink" href="#pyspark.mllib.regression.LinearRegressionModel.intercept" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.regression.LinearRegressionModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#LinearRegressionModel.load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.LinearRegressionModel.load" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.regression.LinearRegressionModel.predict">
<tt class="descname">predict</tt><big>(</big><em>x</em><big>)</big><a class="headerlink" href="#pyspark.mllib.regression.LinearRegressionModel.predict" title="Permalink to this definition"></a></dt>
<dd><p>Predict the value of the dependent variable given a vector or
an RDD of vectors containing values for the independent variables.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.regression.LinearRegressionModel.save">
<tt class="descname">save</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#LinearRegressionModel.save"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.LinearRegressionModel.save" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.regression.LinearRegressionModel.weights">
<tt class="descname">weights</tt><a class="headerlink" href="#pyspark.mllib.regression.LinearRegressionModel.weights" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.regression.LinearRegressionWithSGD">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.regression.</tt><tt class="descname">LinearRegressionWithSGD</tt><a class="reference internal" href="_modules/pyspark/mllib/regression.html#LinearRegressionWithSGD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.LinearRegressionWithSGD" title="Permalink to this definition"></a></dt>
<dd><dl class="classmethod">
<dt id="pyspark.mllib.regression.LinearRegressionWithSGD.train">
<em class="property">classmethod </em><tt class="descname">train</tt><big>(</big><em>data</em>, <em>iterations=100</em>, <em>step=1.0</em>, <em>miniBatchFraction=1.0</em>, <em>initialWeights=None</em>, <em>regParam=0.0</em>, <em>regType=None</em>, <em>intercept=False</em>, <em>validateData=True</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#LinearRegressionWithSGD.train"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.LinearRegressionWithSGD.train" title="Permalink to this definition"></a></dt>
<dd><p>Train a linear regression model using Stochastic Gradient
Descent (SGD).
This solves the least squares regression formulation</p>
<blockquote>
<div>f(weights) = 1/(2n) ||A weights - y||^2,</div></blockquote>
<p>which is the mean squared error.
Here the data matrix has n rows, and the input RDD holds the
set of rows of A, each with its corresponding right hand side
label y. See also the documentation for the precise formulation.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>data</strong> &#8211; The training data, an RDD of
LabeledPoint.</li>
<li><strong>iterations</strong> &#8211; The number of iterations
(default: 100).</li>
<li><strong>step</strong> &#8211; The step parameter used in SGD
(default: 1.0).</li>
<li><strong>miniBatchFraction</strong> &#8211; Fraction of data to be used for each
SGD iteration (default: 1.0).</li>
<li><strong>initialWeights</strong> &#8211; The initial weights (default: None).</li>
<li><strong>regParam</strong> &#8211; The regularizer parameter
(default: 0.0).</li>
<li><strong>regType</strong> &#8211; <p>The type of regularizer used for
training our model.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Allowed values:</th><td class="field-body"><ul class="first">
<li>&#8220;l1&#8221; for using L1 regularization (lasso),</li>
<li>&#8220;l2&#8221; for using L2 regularization (ridge),</li>
<li>None for no regularization</li>
</ul>
<p class="last">(default: None)</p>
</td>
</tr>
</tbody>
</table>
</li>
<li><strong>intercept</strong> &#8211; Boolean parameter which indicates the
use or not of the augmented representation
for training data (i.e. whether bias
features are activated or not,
default: False).</li>
<li><strong>validateData</strong> &#8211; Boolean parameter which indicates if
the algorithm should validate data
before training. (default: True)</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.regression.RidgeRegressionModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.regression.</tt><tt class="descname">RidgeRegressionModel</tt><big>(</big><em>weights</em>, <em>intercept</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#RidgeRegressionModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.RidgeRegressionModel" title="Permalink to this definition"></a></dt>
<dd><p>A linear regression model derived from a least-squares fit with
an l_2 penalty term.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">3.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">2.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">2.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">3.0</span><span class="p">])</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span> <span class="o">=</span> <span class="n">RidgeRegressionWithSGD</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span>
<span class="gp">... </span> <span class="n">initialWeights</span><span class="o">=</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="mf">1.0</span><span class="p">]]))</span><span class="o">.</span><span class="n">collect</span><span class="p">()[</span><span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">os</span><span class="o">,</span> <span class="nn">tempfile</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">path</span> <span class="o">=</span> <span class="n">tempfile</span><span class="o">.</span><span class="n">mkdtemp</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span> <span class="o">=</span> <span class="n">RidgeRegressionModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">shutil</span> <span class="kn">import</span> <span class="n">rmtree</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">try</span><span class="p">:</span>
<span class="gp">... </span> <span class="n">rmtree</span><span class="p">(</span><span class="n">path</span><span class="p">)</span>
<span class="gp">... </span><span class="k">except</span><span class="p">:</span>
<span class="gp">... </span> <span class="k">pass</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">0.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">3.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">2.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">2.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">3.0</span><span class="p">}))</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span> <span class="o">=</span> <span class="n">LinearRegressionWithSGD</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span>
<span class="gp">... </span> <span class="n">initialWeights</span><span class="o">=</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span> <span class="o">=</span> <span class="n">RidgeRegressionWithSGD</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span> <span class="n">step</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span>
<span class="gp">... </span> <span class="n">regParam</span><span class="o">=</span><span class="mf">0.01</span><span class="p">,</span> <span class="n">miniBatchFraction</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">initialWeights</span><span class="o">=</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]),</span> <span class="n">intercept</span><span class="o">=</span><span class="bp">True</span><span class="p">,</span>
<span class="gp">... </span> <span class="n">validateData</span><span class="o">=</span><span class="bp">True</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
</pre></div>
</div>
<dl class="attribute">
<dt id="pyspark.mllib.regression.RidgeRegressionModel.intercept">
<tt class="descname">intercept</tt><a class="headerlink" href="#pyspark.mllib.regression.RidgeRegressionModel.intercept" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.regression.RidgeRegressionModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#RidgeRegressionModel.load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.RidgeRegressionModel.load" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.regression.RidgeRegressionModel.predict">
<tt class="descname">predict</tt><big>(</big><em>x</em><big>)</big><a class="headerlink" href="#pyspark.mllib.regression.RidgeRegressionModel.predict" title="Permalink to this definition"></a></dt>
<dd><p>Predict the value of the dependent variable given a vector or
an RDD of vectors containing values for the independent variables.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.regression.RidgeRegressionModel.save">
<tt class="descname">save</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#RidgeRegressionModel.save"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.RidgeRegressionModel.save" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.regression.RidgeRegressionModel.weights">
<tt class="descname">weights</tt><a class="headerlink" href="#pyspark.mllib.regression.RidgeRegressionModel.weights" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.regression.RidgeRegressionWithSGD">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.regression.</tt><tt class="descname">RidgeRegressionWithSGD</tt><a class="reference internal" href="_modules/pyspark/mllib/regression.html#RidgeRegressionWithSGD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.RidgeRegressionWithSGD" title="Permalink to this definition"></a></dt>
<dd><dl class="classmethod">
<dt id="pyspark.mllib.regression.RidgeRegressionWithSGD.train">
<em class="property">classmethod </em><tt class="descname">train</tt><big>(</big><em>data</em>, <em>iterations=100</em>, <em>step=1.0</em>, <em>regParam=0.01</em>, <em>miniBatchFraction=1.0</em>, <em>initialWeights=None</em>, <em>intercept=False</em>, <em>validateData=True</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#RidgeRegressionWithSGD.train"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.RidgeRegressionWithSGD.train" title="Permalink to this definition"></a></dt>
<dd><p>Train a regression model with L2-regularization using
Stochastic Gradient Descent.
This solves the l2-regularized least squares regression
formulation</p>
<blockquote>
<div>f(weights) = 1/(2n) ||A weights - y||^2 + regParam/2 ||weights||^2.</div></blockquote>
<p>Here the data matrix has n rows, and the input RDD holds the
set of rows of A, each with its corresponding right hand side
label y. See also the documentation for the precise formulation.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>data</strong> &#8211; The training data, an RDD of
LabeledPoint.</li>
<li><strong>iterations</strong> &#8211; The number of iterations
(default: 100).</li>
<li><strong>step</strong> &#8211; The step parameter used in SGD
(default: 1.0).</li>
<li><strong>regParam</strong> &#8211; The regularizer parameter
(default: 0.01).</li>
<li><strong>miniBatchFraction</strong> &#8211; Fraction of data to be used for each
SGD iteration (default: 1.0).</li>
<li><strong>initialWeights</strong> &#8211; The initial weights (default: None).</li>
<li><strong>intercept</strong> &#8211; Boolean parameter which indicates the
use or not of the augmented representation
for training data (i.e. whether bias
features are activated or not,
default: False).</li>
<li><strong>validateData</strong> &#8211; Boolean parameter which indicates if
the algorithm should validate data
before training. (default: True)</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.regression.LassoModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.regression.</tt><tt class="descname">LassoModel</tt><big>(</big><em>weights</em>, <em>intercept</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#LassoModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.LassoModel" title="Permalink to this definition"></a></dt>
<dd><p>A linear regression model derived from a least-squares fit with
an l_1 penalty term.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">3.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">2.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">2.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">3.0</span><span class="p">])</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span> <span class="o">=</span> <span class="n">LassoWithSGD</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span> <span class="n">initialWeights</span><span class="o">=</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="mf">1.0</span><span class="p">]]))</span><span class="o">.</span><span class="n">collect</span><span class="p">()[</span><span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">os</span><span class="o">,</span> <span class="nn">tempfile</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">path</span> <span class="o">=</span> <span class="n">tempfile</span><span class="o">.</span><span class="n">mkdtemp</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span> <span class="o">=</span> <span class="n">LassoModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">shutil</span> <span class="kn">import</span> <span class="n">rmtree</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">try</span><span class="p">:</span>
<span class="gp">... </span> <span class="n">rmtree</span><span class="p">(</span><span class="n">path</span><span class="p">)</span>
<span class="gp">... </span><span class="k">except</span><span class="p">:</span>
<span class="gp">... </span> <span class="k">pass</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">0.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">3.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">2.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">2.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">3.0</span><span class="p">}))</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span> <span class="o">=</span> <span class="n">LinearRegressionWithSGD</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span>
<span class="gp">... </span> <span class="n">initialWeights</span><span class="o">=</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lrm</span> <span class="o">=</span> <span class="n">LassoWithSGD</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span> <span class="n">step</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span>
<span class="gp">... </span> <span class="n">regParam</span><span class="o">=</span><span class="mf">0.01</span><span class="p">,</span> <span class="n">miniBatchFraction</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">initialWeights</span><span class="o">=</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]),</span> <span class="n">intercept</span><span class="o">=</span><span class="bp">True</span><span class="p">,</span>
<span class="gp">... </span> <span class="n">validateData</span><span class="o">=</span><span class="bp">True</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">]))</span> <span class="o">-</span> <span class="mi">0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">lrm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">0.5</span>
<span class="go">True</span>
</pre></div>
</div>
<dl class="attribute">
<dt id="pyspark.mllib.regression.LassoModel.intercept">
<tt class="descname">intercept</tt><a class="headerlink" href="#pyspark.mllib.regression.LassoModel.intercept" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.regression.LassoModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#LassoModel.load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.LassoModel.load" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.regression.LassoModel.predict">
<tt class="descname">predict</tt><big>(</big><em>x</em><big>)</big><a class="headerlink" href="#pyspark.mllib.regression.LassoModel.predict" title="Permalink to this definition"></a></dt>
<dd><p>Predict the value of the dependent variable given a vector or
an RDD of vectors containing values for the independent variables.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.regression.LassoModel.save">
<tt class="descname">save</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#LassoModel.save"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.LassoModel.save" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="attribute">
<dt id="pyspark.mllib.regression.LassoModel.weights">
<tt class="descname">weights</tt><a class="headerlink" href="#pyspark.mllib.regression.LassoModel.weights" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.regression.LassoWithSGD">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.regression.</tt><tt class="descname">LassoWithSGD</tt><a class="reference internal" href="_modules/pyspark/mllib/regression.html#LassoWithSGD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.LassoWithSGD" title="Permalink to this definition"></a></dt>
<dd><dl class="classmethod">
<dt id="pyspark.mllib.regression.LassoWithSGD.train">
<em class="property">classmethod </em><tt class="descname">train</tt><big>(</big><em>data</em>, <em>iterations=100</em>, <em>step=1.0</em>, <em>regParam=0.01</em>, <em>miniBatchFraction=1.0</em>, <em>initialWeights=None</em>, <em>intercept=False</em>, <em>validateData=True</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#LassoWithSGD.train"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.LassoWithSGD.train" title="Permalink to this definition"></a></dt>
<dd><p>Train a regression model with L1-regularization using
Stochastic Gradient Descent.
This solves the l1-regularized least squares regression
formulation</p>
<blockquote>
<div>f(weights) = 1/(2n) ||A weights - y||^2 + regParam ||weights||_1.</div></blockquote>
<p>Here the data matrix has n rows, and the input RDD holds the
set of rows of A, each with its corresponding right hand side
label y. See also the documentation for the precise formulation.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>data</strong> &#8211; The training data, an RDD of
LabeledPoint.</li>
<li><strong>iterations</strong> &#8211; The number of iterations
(default: 100).</li>
<li><strong>step</strong> &#8211; The step parameter used in SGD
(default: 1.0).</li>
<li><strong>regParam</strong> &#8211; The regularizer parameter
(default: 0.01).</li>
<li><strong>miniBatchFraction</strong> &#8211; Fraction of data to be used for each
SGD iteration (default: 1.0).</li>
<li><strong>initialWeights</strong> &#8211; The initial weights (default: None).</li>
<li><strong>intercept</strong> &#8211; Boolean parameter which indicates the
use or not of the augmented representation
for training data (i.e. whether bias
features are activated or not,
default: False).</li>
<li><strong>validateData</strong> &#8211; Boolean parameter which indicates if
the algorithm should validate data
before training. (default: True)</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.regression.IsotonicRegressionModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.regression.</tt><tt class="descname">IsotonicRegressionModel</tt><big>(</big><em>boundaries</em>, <em>predictions</em>, <em>isotonic</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#IsotonicRegressionModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.IsotonicRegressionModel" title="Permalink to this definition"></a></dt>
<dd><p>Regression model for isotonic regression.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>boundaries</strong> &#8211; Array of boundaries for which predictions are
known. Boundaries must be sorted in increasing order.</li>
<li><strong>predictions</strong> &#8211; Array of predictions associated to the
boundaries at the same index. Results of isotonic
regression and therefore monotone.</li>
<li><strong>isotonic</strong> &#8211; indicates whether this is isotonic or antitonic.</li>
</ul>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">6</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">17</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">16</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">1</span><span class="p">)]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">irm</span> <span class="o">=</span> <span class="n">IsotonicRegression</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">irm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>
<span class="go">2.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">irm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="mi">5</span><span class="p">)</span>
<span class="go">16.5</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">irm</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="mi">3</span><span class="p">,</span> <span class="mi">5</span><span class="p">]))</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[2.0, 16.5]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">os</span><span class="o">,</span> <span class="nn">tempfile</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">path</span> <span class="o">=</span> <span class="n">tempfile</span><span class="o">.</span><span class="n">mkdtemp</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">irm</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span> <span class="o">=</span> <span class="n">IsotonicRegressionModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>
<span class="go">2.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="mi">5</span><span class="p">)</span>
<span class="go">16.5</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">shutil</span> <span class="kn">import</span> <span class="n">rmtree</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">try</span><span class="p">:</span>
<span class="gp">... </span> <span class="n">rmtree</span><span class="p">(</span><span class="n">path</span><span class="p">)</span>
<span class="gp">... </span><span class="k">except</span> <span class="ne">OSError</span><span class="p">:</span>
<span class="gp">... </span> <span class="k">pass</span>
</pre></div>
</div>
<dl class="classmethod">
<dt id="pyspark.mllib.regression.IsotonicRegressionModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#IsotonicRegressionModel.load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.IsotonicRegressionModel.load" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.regression.IsotonicRegressionModel.predict">
<tt class="descname">predict</tt><big>(</big><em>x</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#IsotonicRegressionModel.predict"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.IsotonicRegressionModel.predict" title="Permalink to this definition"></a></dt>
<dd><p>Predict labels for provided features.
Using a piecewise linear function.
1) If x exactly matches a boundary then associated prediction
is returned. In case there are multiple predictions with the
same boundary then one of them is returned. Which one is
undefined (same as java.util.Arrays.binarySearch).
2) If x is lower or higher than all boundaries then first or
last prediction is returned respectively. In case there are
multiple predictions with the same boundary then the lowest
or highest is returned respectively.
3) If x falls between two values in boundary array then
prediction is treated as piecewise linear function and
interpolated value is returned. In case there are multiple
values with the same boundary then the same rules as in 2)
are used.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>x</strong> &#8211; Feature or RDD of Features to be labeled.</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.regression.IsotonicRegressionModel.save">
<tt class="descname">save</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#IsotonicRegressionModel.save"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.IsotonicRegressionModel.save" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.regression.IsotonicRegression">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.regression.</tt><tt class="descname">IsotonicRegression</tt><a class="reference internal" href="_modules/pyspark/mllib/regression.html#IsotonicRegression"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.IsotonicRegression" title="Permalink to this definition"></a></dt>
<dd><dl class="classmethod">
<dt id="pyspark.mllib.regression.IsotonicRegression.train">
<em class="property">classmethod </em><tt class="descname">train</tt><big>(</big><em>data</em>, <em>isotonic=True</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/regression.html#IsotonicRegression.train"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.regression.IsotonicRegression.train" title="Permalink to this definition"></a></dt>
<dd><p>Train a isotonic regression model on the given data.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>data</strong> &#8211; RDD of (label, feature, weight) tuples.</li>
<li><strong>isotonic</strong> &#8211; Whether this is isotonic or antitonic.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
</div>
<div class="section" id="module-pyspark.mllib.stat">
<span id="pyspark-mllib-stat-module"></span><h2>pyspark.mllib.stat module<a class="headerlink" href="#module-pyspark.mllib.stat" title="Permalink to this headline"></a></h2>
<p>Python package for statistical functions in MLlib.</p>
<dl class="class">
<dt id="pyspark.mllib.stat.Statistics">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.stat.</tt><tt class="descname">Statistics</tt><a class="headerlink" href="#pyspark.mllib.stat.Statistics" title="Permalink to this definition"></a></dt>
<dd><dl class="staticmethod">
<dt id="pyspark.mllib.stat.Statistics.chiSqTest">
<em class="property">static </em><tt class="descname">chiSqTest</tt><big>(</big><em>observed</em>, <em>expected=None</em><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.Statistics.chiSqTest" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>If <cite>observed</cite> is Vector, conduct Pearson&#8217;s chi-squared goodness
of fit test of the observed data against the expected distribution,
or againt the uniform distribution (by default), with each category
having an expected frequency of <cite>1 / len(observed)</cite>.
(Note: <cite>observed</cite> cannot contain negative values)</p>
<p>If <cite>observed</cite> is matrix, conduct Pearson&#8217;s independence test on the
input contingency matrix, which cannot contain negative entries or
columns or rows that sum up to 0.</p>
<p>If <cite>observed</cite> is an RDD of LabeledPoint, conduct Pearson&#8217;s independence
test for every feature against the label across the input RDD.
For each feature, the (feature, label) pairs are converted into a
contingency matrix for which the chi-squared statistic is computed.
All label and feature values must be categorical.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>observed</strong> &#8211; it could be a vector containing the observed categorical
counts/relative frequencies, or the contingency matrix
(containing either counts or relative frequencies),
or an RDD of LabeledPoint containing the labeled dataset
with categorical features. Real-valued features will be
treated as categorical for each distinct value.</li>
<li><strong>expected</strong> &#8211; Vector containing the expected categorical counts/relative
frequencies. <cite>expected</cite> is rescaled if the <cite>expected</cite> sum
differs from the <cite>observed</cite> sum.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">ChiSquaredTest object containing the test statistic, degrees
of freedom, p-value, the method used, and the null hypothesis.</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.linalg</span> <span class="kn">import</span> <span class="n">Vectors</span><span class="p">,</span> <span class="n">Matrices</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">observed</span> <span class="o">=</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mi">4</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">5</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">pearson</span> <span class="o">=</span> <span class="n">Statistics</span><span class="o">.</span><span class="n">chiSqTest</span><span class="p">(</span><span class="n">observed</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">pearson</span><span class="o">.</span><span class="n">statistic</span><span class="p">)</span>
<span class="go">0.4</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">pearson</span><span class="o">.</span><span class="n">degreesOfFreedom</span>
<span class="go">2</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="nb">round</span><span class="p">(</span><span class="n">pearson</span><span class="o">.</span><span class="n">pValue</span><span class="p">,</span> <span class="mi">4</span><span class="p">))</span>
<span class="go">0.8187</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">pearson</span><span class="o">.</span><span class="n">method</span>
<span class="go">u&#39;pearson&#39;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">pearson</span><span class="o">.</span><span class="n">nullHypothesis</span>
<span class="go">u&#39;observed follows the same distribution as expected.&#39;</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">observed</span> <span class="o">=</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mi">21</span><span class="p">,</span> <span class="mi">38</span><span class="p">,</span> <span class="mi">43</span><span class="p">,</span> <span class="mi">80</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">expected</span> <span class="o">=</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mi">3</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">20</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">pearson</span> <span class="o">=</span> <span class="n">Statistics</span><span class="o">.</span><span class="n">chiSqTest</span><span class="p">(</span><span class="n">observed</span><span class="p">,</span> <span class="n">expected</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="nb">round</span><span class="p">(</span><span class="n">pearson</span><span class="o">.</span><span class="n">pValue</span><span class="p">,</span> <span class="mi">4</span><span class="p">))</span>
<span class="go">0.0027</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span><span class="mf">40.0</span><span class="p">,</span> <span class="mf">24.0</span><span class="p">,</span> <span class="mf">29.0</span><span class="p">,</span> <span class="mf">56.0</span><span class="p">,</span> <span class="mf">32.0</span><span class="p">,</span> <span class="mf">42.0</span><span class="p">,</span> <span class="mf">31.0</span><span class="p">,</span> <span class="mf">10.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">30.0</span><span class="p">,</span> <span class="mf">15.0</span><span class="p">,</span> <span class="mf">12.0</span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">chi</span> <span class="o">=</span> <span class="n">Statistics</span><span class="o">.</span><span class="n">chiSqTest</span><span class="p">(</span><span class="n">Matrices</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="n">data</span><span class="p">))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="nb">round</span><span class="p">(</span><span class="n">chi</span><span class="o">.</span><span class="n">statistic</span><span class="p">,</span> <span class="mi">4</span><span class="p">))</span>
<span class="go">21.9958</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span><span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">10.0</span><span class="p">])),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">1.5</span><span class="p">,</span> <span class="mf">20.0</span><span class="p">])),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">1.5</span><span class="p">,</span> <span class="mf">30.0</span><span class="p">])),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">3.5</span><span class="p">,</span> <span class="mf">30.0</span><span class="p">])),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">3.5</span><span class="p">,</span> <span class="mf">40.0</span><span class="p">])),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">3.5</span><span class="p">,</span> <span class="mf">40.0</span><span class="p">])),]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="mi">4</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">chi</span> <span class="o">=</span> <span class="n">Statistics</span><span class="o">.</span><span class="n">chiSqTest</span><span class="p">(</span><span class="n">rdd</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">chi</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">statistic</span><span class="p">)</span>
<span class="go">0.75</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">chi</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">.</span><span class="n">statistic</span><span class="p">)</span>
<span class="go">1.5</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.stat.Statistics.colStats">
<em class="property">static </em><tt class="descname">colStats</tt><big>(</big><em>rdd</em><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.Statistics.colStats" title="Permalink to this definition"></a></dt>
<dd><p>Computes column-wise summary statistics for the input RDD[Vector].</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>rdd</strong> &#8211; an RDD[Vector] for which column-wise summary statistics
are to be computed.</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><a class="reference internal" href="#pyspark.mllib.stat.MultivariateStatisticalSummary" title="pyspark.mllib.stat.MultivariateStatisticalSummary"><tt class="xref py py-class docutils literal"><span class="pre">MultivariateStatisticalSummary</span></tt></a> object containing
column-wise summary statistics.</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.linalg</span> <span class="kn">import</span> <span class="n">Vectors</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mi">2</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">2</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">3</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mi">6</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">8</span><span class="p">])])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">cStats</span> <span class="o">=</span> <span class="n">Statistics</span><span class="o">.</span><span class="n">colStats</span><span class="p">(</span><span class="n">rdd</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">cStats</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span>
<span class="go">array([ 4., 4., 0., 3.])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">cStats</span><span class="o">.</span><span class="n">variance</span><span class="p">()</span>
<span class="go">array([ 4., 13., 0., 25.])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">cStats</span><span class="o">.</span><span class="n">count</span><span class="p">()</span>
<span class="go">3</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">cStats</span><span class="o">.</span><span class="n">numNonzeros</span><span class="p">()</span>
<span class="go">array([ 3., 2., 0., 3.])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">cStats</span><span class="o">.</span><span class="n">max</span><span class="p">()</span>
<span class="go">array([ 6., 7., 0., 8.])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">cStats</span><span class="o">.</span><span class="n">min</span><span class="p">()</span>
<span class="go">array([ 2., 0., 0., -2.])</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.stat.Statistics.corr">
<em class="property">static </em><tt class="descname">corr</tt><big>(</big><em>x</em>, <em>y=None</em>, <em>method=None</em><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.Statistics.corr" title="Permalink to this definition"></a></dt>
<dd><p>Compute the correlation (matrix) for the input RDD(s) using the
specified method.
Methods currently supported: <cite>pearson (default), spearman</cite>.</p>
<p>If a single RDD of Vectors is passed in, a correlation matrix
comparing the columns in the input RDD is returned. Use <cite>method=</cite>
to specify the method to be used for single RDD inout.
If two RDDs of floats are passed in, a single float is returned.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>x</strong> &#8211; an RDD of vector for which the correlation matrix is to be computed,
or an RDD of float of the same cardinality as y when y is specified.</li>
<li><strong>y</strong> &#8211; an RDD of float of the same cardinality as x.</li>
<li><strong>method</strong> &#8211; String specifying the method to use for computing correlation.
Supported: <cite>pearson</cite> (default), <cite>spearman</cite></li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">Correlation matrix comparing columns in x.</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">x</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="o">-</span><span class="mf">2.0</span><span class="p">],</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">y</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="mf">4.0</span><span class="p">,</span> <span class="mf">5.0</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">],</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">zeros</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">],</span> <span class="mi">2</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">abs</span><span class="p">(</span><span class="n">Statistics</span><span class="o">.</span><span class="n">corr</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span> <span class="o">-</span> <span class="mf">0.6546537</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mf">1e-7</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">Statistics</span><span class="o">.</span><span class="n">corr</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span> <span class="o">==</span> <span class="n">Statistics</span><span class="o">.</span><span class="n">corr</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="s">&quot;pearson&quot;</span><span class="p">)</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">Statistics</span><span class="o">.</span><span class="n">corr</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="s">&quot;spearman&quot;</span><span class="p">)</span>
<span class="go">0.5</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">isnan</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">isnan</span><span class="p">(</span><span class="n">Statistics</span><span class="o">.</span><span class="n">corr</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">zeros</span><span class="p">))</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.linalg</span> <span class="kn">import</span> <span class="n">Vectors</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">2</span><span class="p">]),</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">3</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mi">6</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">8</span><span class="p">]),</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mi">9</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">])])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">pearsonCorr</span> <span class="o">=</span> <span class="n">Statistics</span><span class="o">.</span><span class="n">corr</span><span class="p">(</span><span class="n">rdd</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="nb">str</span><span class="p">(</span><span class="n">pearsonCorr</span><span class="p">)</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39;nan&#39;</span><span class="p">,</span> <span class="s">&#39;NaN&#39;</span><span class="p">))</span>
<span class="go">[[ 1. 0.05564149 NaN 0.40047142]</span>
<span class="go"> [ 0.05564149 1. NaN 0.91359586]</span>
<span class="go"> [ NaN NaN 1. NaN]</span>
<span class="go"> [ 0.40047142 0.91359586 NaN 1. ]]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">spearmanCorr</span> <span class="o">=</span> <span class="n">Statistics</span><span class="o">.</span><span class="n">corr</span><span class="p">(</span><span class="n">rdd</span><span class="p">,</span> <span class="n">method</span><span class="o">=</span><span class="s">&quot;spearman&quot;</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="nb">str</span><span class="p">(</span><span class="n">spearmanCorr</span><span class="p">)</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39;nan&#39;</span><span class="p">,</span> <span class="s">&#39;NaN&#39;</span><span class="p">))</span>
<span class="go">[[ 1. 0.10540926 NaN 0.4 ]</span>
<span class="go"> [ 0.10540926 1. NaN 0.9486833 ]</span>
<span class="go"> [ NaN NaN 1. NaN]</span>
<span class="go"> [ 0.4 0.9486833 NaN 1. ]]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">try</span><span class="p">:</span>
<span class="gp">... </span> <span class="n">Statistics</span><span class="o">.</span><span class="n">corr</span><span class="p">(</span><span class="n">rdd</span><span class="p">,</span> <span class="s">&quot;spearman&quot;</span><span class="p">)</span>
<span class="gp">... </span> <span class="k">print</span><span class="p">(</span><span class="s">&quot;Method name as second argument without &#39;method=&#39; shouldn&#39;t be allowed.&quot;</span><span class="p">)</span>
<span class="gp">... </span><span class="k">except</span> <span class="ne">TypeError</span><span class="p">:</span>
<span class="gp">... </span> <span class="k">pass</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.stat.Statistics.kolmogorovSmirnovTest">
<em class="property">static </em><tt class="descname">kolmogorovSmirnovTest</tt><big>(</big><em>data</em>, <em>distName='norm'</em>, <em>*params</em><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.Statistics.kolmogorovSmirnovTest" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Performs the Kolmogorov-Smirnov (KS) test for data sampled from
a continuous distribution. It tests the null hypothesis that
the data is generated from a particular distribution.</p>
<p>The given data is sorted and the Empirical Cumulative
Distribution Function (ECDF) is calculated
which for a given point is the number of points having a CDF
value lesser than it divided by the total number of points.</p>
<p>Since the data is sorted, this is a step function
that rises by (1 / length of data) for every ordered point.</p>
<p>The KS statistic gives us the maximum distance between the
ECDF and the CDF. Intuitively if this statistic is large, the
probabilty that the null hypothesis is true becomes small.
For specific details of the implementation, please have a look
at the Scala documentation.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>data</strong> &#8211; RDD, samples from the data</li>
<li><strong>distName</strong> &#8211; string, currently only &#8220;norm&#8221; is supported.
(Normal distribution) to calculate the
theoretical distribution of the data.</li>
<li><strong>params</strong> &#8211; additional values which need to be provided for
a certain distribution.
If not provided, the default values are used.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">KolmogorovSmirnovTestResult object containing the test
statistic, degrees of freedom, p-value,
the method used, and the null hypothesis.</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">kstest</span> <span class="o">=</span> <span class="n">Statistics</span><span class="o">.</span><span class="n">kolmogorovSmirnovTest</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="o">-</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">ksmodel</span> <span class="o">=</span> <span class="n">kstest</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="s">&quot;norm&quot;</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="nb">round</span><span class="p">(</span><span class="n">ksmodel</span><span class="o">.</span><span class="n">pValue</span><span class="p">,</span> <span class="mi">3</span><span class="p">))</span>
<span class="go">1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="nb">round</span><span class="p">(</span><span class="n">ksmodel</span><span class="o">.</span><span class="n">statistic</span><span class="p">,</span> <span class="mi">3</span><span class="p">))</span>
<span class="go">0.175</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">ksmodel</span><span class="o">.</span><span class="n">nullHypothesis</span>
<span class="go">u&#39;Sample follows theoretical distribution&#39;</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="mf">2.0</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">,</span> <span class="mf">4.0</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">ksmodel</span> <span class="o">=</span> <span class="n">kstest</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="s">&quot;norm&quot;</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="nb">round</span><span class="p">(</span><span class="n">ksmodel</span><span class="o">.</span><span class="n">pValue</span><span class="p">,</span> <span class="mi">3</span><span class="p">))</span>
<span class="go">1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="nb">round</span><span class="p">(</span><span class="n">ksmodel</span><span class="o">.</span><span class="n">statistic</span><span class="p">,</span> <span class="mi">3</span><span class="p">))</span>
<span class="go">0.175</span>
</pre></div>
</div>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.stat.MultivariateStatisticalSummary">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.stat.</tt><tt class="descname">MultivariateStatisticalSummary</tt><big>(</big><em>java_model</em><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.MultivariateStatisticalSummary" title="Permalink to this definition"></a></dt>
<dd><p>Trait for multivariate statistical summary of a data matrix.</p>
<dl class="method">
<dt id="pyspark.mllib.stat.MultivariateStatisticalSummary.count">
<tt class="descname">count</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.MultivariateStatisticalSummary.count" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.stat.MultivariateStatisticalSummary.max">
<tt class="descname">max</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.MultivariateStatisticalSummary.max" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.stat.MultivariateStatisticalSummary.mean">
<tt class="descname">mean</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.MultivariateStatisticalSummary.mean" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.stat.MultivariateStatisticalSummary.min">
<tt class="descname">min</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.MultivariateStatisticalSummary.min" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.stat.MultivariateStatisticalSummary.normL1">
<tt class="descname">normL1</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.MultivariateStatisticalSummary.normL1" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.stat.MultivariateStatisticalSummary.normL2">
<tt class="descname">normL2</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.MultivariateStatisticalSummary.normL2" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.stat.MultivariateStatisticalSummary.numNonzeros">
<tt class="descname">numNonzeros</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.MultivariateStatisticalSummary.numNonzeros" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.stat.MultivariateStatisticalSummary.variance">
<tt class="descname">variance</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.MultivariateStatisticalSummary.variance" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.stat.ChiSqTestResult">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.stat.</tt><tt class="descname">ChiSqTestResult</tt><big>(</big><em>java_model</em><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.ChiSqTestResult" title="Permalink to this definition"></a></dt>
<dd><p>Contains test results for the chi-squared hypothesis test.</p>
<dl class="attribute">
<dt id="pyspark.mllib.stat.ChiSqTestResult.method">
<tt class="descname">method</tt><a class="headerlink" href="#pyspark.mllib.stat.ChiSqTestResult.method" title="Permalink to this definition"></a></dt>
<dd><p>Name of the test method</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.stat.MultivariateGaussian">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.stat.</tt><tt class="descname">MultivariateGaussian</tt><a class="headerlink" href="#pyspark.mllib.stat.MultivariateGaussian" title="Permalink to this definition"></a></dt>
<dd><p>Represents a (mu, sigma) tuple</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">m</span> <span class="o">=</span> <span class="n">MultivariateGaussian</span><span class="p">(</span><span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mi">11</span><span class="p">,</span><span class="mi">12</span><span class="p">]),</span><span class="n">DenseMatrix</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">,</span> <span class="mf">5.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">)))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="p">(</span><span class="n">m</span><span class="o">.</span><span class="n">mu</span><span class="p">,</span> <span class="n">m</span><span class="o">.</span><span class="n">sigma</span><span class="o">.</span><span class="n">toArray</span><span class="p">())</span>
<span class="go">(DenseVector([11.0, 12.0]), array([[ 1., 5.],[ 3., 2.]]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="p">(</span><span class="n">m</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">m</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
<span class="go">(DenseVector([11.0, 12.0]), array([[ 1., 5.],[ 3., 2.]]))</span>
</pre></div>
</div>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.stat.KernelDensity">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.stat.</tt><tt class="descname">KernelDensity</tt><a class="headerlink" href="#pyspark.mllib.stat.KernelDensity" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Estimate probability density at required points given a RDD of samples
from the population.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">kd</span> <span class="o">=</span> <span class="n">KernelDensity</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sample</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">kd</span><span class="o">.</span><span class="n">setSample</span><span class="p">(</span><span class="n">sample</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">kd</span><span class="o">.</span><span class="n">estimate</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">])</span>
<span class="go">array([ 0.12938758, 0.12938758])</span>
</pre></div>
</div>
<dl class="method">
<dt id="pyspark.mllib.stat.KernelDensity.estimate">
<tt class="descname">estimate</tt><big>(</big><em>points</em><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.KernelDensity.estimate" title="Permalink to this definition"></a></dt>
<dd><p>Estimate the probability density at points</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.stat.KernelDensity.setBandwidth">
<tt class="descname">setBandwidth</tt><big>(</big><em>bandwidth</em><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.KernelDensity.setBandwidth" title="Permalink to this definition"></a></dt>
<dd><p>Set bandwidth of each sample. Defaults to 1.0</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.stat.KernelDensity.setSample">
<tt class="descname">setSample</tt><big>(</big><em>sample</em><big>)</big><a class="headerlink" href="#pyspark.mllib.stat.KernelDensity.setSample" title="Permalink to this definition"></a></dt>
<dd><p>Set sample points from the population. Should be a RDD</p>
</dd></dl>
</dd></dl>
</div>
<div class="section" id="module-pyspark.mllib.tree">
<span id="pyspark-mllib-tree-module"></span><h2>pyspark.mllib.tree module<a class="headerlink" href="#module-pyspark.mllib.tree" title="Permalink to this headline"></a></h2>
<dl class="class">
<dt id="pyspark.mllib.tree.DecisionTreeModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.tree.</tt><tt class="descname">DecisionTreeModel</tt><big>(</big><em>java_model</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/tree.html#DecisionTreeModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.DecisionTreeModel" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>A decision tree model for classification or regression.</p>
<dl class="method">
<dt id="pyspark.mllib.tree.DecisionTreeModel.call">
<tt class="descname">call</tt><big>(</big><em>name</em>, <em>*a</em><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.DecisionTreeModel.call" title="Permalink to this definition"></a></dt>
<dd><p>Call method of java_model</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.tree.DecisionTreeModel.depth">
<tt class="descname">depth</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/tree.html#DecisionTreeModel.depth"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.DecisionTreeModel.depth" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.tree.DecisionTreeModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.DecisionTreeModel.load" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.tree.DecisionTreeModel.numNodes">
<tt class="descname">numNodes</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/tree.html#DecisionTreeModel.numNodes"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.DecisionTreeModel.numNodes" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.tree.DecisionTreeModel.predict">
<tt class="descname">predict</tt><big>(</big><em>x</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/tree.html#DecisionTreeModel.predict"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.DecisionTreeModel.predict" title="Permalink to this definition"></a></dt>
<dd><p>Predict the label of one or more examples.</p>
<dl class="docutils">
<dt>Note: In Python, predict cannot currently be used within an RDD</dt>
<dd>transformation or action.
Call predict directly on the RDD instead.</dd>
</dl>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>x</strong> &#8211; Data point (feature vector),
or an RDD of data points (feature vectors).</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.tree.DecisionTreeModel.save">
<tt class="descname">save</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.DecisionTreeModel.save" title="Permalink to this definition"></a></dt>
<dd><p>Save this model to the given path.</p>
<dl class="docutils">
<dt>This saves:</dt>
<dd><ul class="first last simple">
<li>human-readable (JSON) model metadata to path/metadata/</li>
<li>Parquet formatted data to path/data/</li>
</ul>
</dd>
</dl>
<p>The model may be loaded using py:meth:<cite>Loader.load</cite>.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>sc</strong> &#8211; Spark context used to save model data.</li>
<li><strong>path</strong> &#8211; Path specifying the directory in which to save
this model. If the directory already exists,
this method throws an exception.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.tree.DecisionTreeModel.toDebugString">
<tt class="descname">toDebugString</tt><big>(</big><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/tree.html#DecisionTreeModel.toDebugString"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.DecisionTreeModel.toDebugString" title="Permalink to this definition"></a></dt>
<dd><p>full model.</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.tree.DecisionTree">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.tree.</tt><tt class="descname">DecisionTree</tt><a class="reference internal" href="_modules/pyspark/mllib/tree.html#DecisionTree"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.DecisionTree" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Learning algorithm for a decision tree model for classification or
regression.</p>
<dl class="classmethod">
<dt id="pyspark.mllib.tree.DecisionTree.trainClassifier">
<em class="property">classmethod </em><tt class="descname">trainClassifier</tt><big>(</big><em>data</em>, <em>numClasses</em>, <em>categoricalFeaturesInfo</em>, <em>impurity='gini'</em>, <em>maxDepth=5</em>, <em>maxBins=32</em>, <em>minInstancesPerNode=1</em>, <em>minInfoGain=0.0</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/tree.html#DecisionTree.trainClassifier"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.DecisionTree.trainClassifier" title="Permalink to this definition"></a></dt>
<dd><p>Train a DecisionTreeModel for classification.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>data</strong> &#8211; Training data: RDD of LabeledPoint.
Labels are integers {0,1,...,numClasses}.</li>
<li><strong>numClasses</strong> &#8211; Number of classes for classification.</li>
<li><strong>categoricalFeaturesInfo</strong> &#8211; Map from categorical feature index
to number of categories.
Any feature not in this map
is treated as continuous.</li>
<li><strong>impurity</strong> &#8211; Supported values: &#8220;entropy&#8221; or &#8220;gini&#8221;</li>
<li><strong>maxDepth</strong> &#8211; Max depth of tree.
E.g., depth 0 means 1 leaf node.
Depth 1 means 1 internal node + 2 leaf nodes.</li>
<li><strong>maxBins</strong> &#8211; Number of bins used for finding splits at each node.</li>
<li><strong>minInstancesPerNode</strong> &#8211; Min number of instances required at child
nodes to create the parent split</li>
<li><strong>minInfoGain</strong> &#8211; Min info gain required to create a split</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">DecisionTreeModel</p>
</td>
</tr>
</tbody>
</table>
<p>Example usage:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">numpy</span> <span class="kn">import</span> <span class="n">array</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.tree</span> <span class="kn">import</span> <span class="n">DecisionTree</span>
<span class="go">&gt;&gt;&gt;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">2.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">3.0</span><span class="p">])</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">DecisionTree</span><span class="o">.</span><span class="n">trainClassifier</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="mi">2</span><span class="p">,</span> <span class="p">{})</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">model</span><span class="p">)</span>
<span class="go">DecisionTreeModel classifier of depth 1 with 3 nodes</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">toDebugString</span><span class="p">())</span>
<span class="go">DecisionTreeModel classifier of depth 1 with 3 nodes</span>
<span class="go"> If (feature 0 &lt;= 0.0)</span>
<span class="go"> Predict: 0.0</span>
<span class="go"> Else (feature 0 &gt; 0.0)</span>
<span class="go"> Predict: 1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">]))</span>
<span class="go">1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">array</span><span class="p">([</span><span class="mf">0.0</span><span class="p">]))</span>
<span class="go">0.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="mf">1.0</span><span class="p">],</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">]])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">rdd</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[1.0, 0.0]</span>
</pre></div>
</div>
</dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.tree.DecisionTree.trainRegressor">
<em class="property">classmethod </em><tt class="descname">trainRegressor</tt><big>(</big><em>data</em>, <em>categoricalFeaturesInfo</em>, <em>impurity='variance'</em>, <em>maxDepth=5</em>, <em>maxBins=32</em>, <em>minInstancesPerNode=1</em>, <em>minInfoGain=0.0</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/tree.html#DecisionTree.trainRegressor"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.DecisionTree.trainRegressor" title="Permalink to this definition"></a></dt>
<dd><p>Train a DecisionTreeModel for regression.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>data</strong> &#8211; Training data: RDD of LabeledPoint.
Labels are real numbers.</li>
<li><strong>categoricalFeaturesInfo</strong> &#8211; Map from categorical feature
index to number of categories.
Any feature not in this map is treated as continuous.</li>
<li><strong>impurity</strong> &#8211; Supported values: &#8220;variance&#8221;</li>
<li><strong>maxDepth</strong> &#8211; Max depth of tree.
E.g., depth 0 means 1 leaf node.
Depth 1 means 1 internal node + 2 leaf nodes.</li>
<li><strong>maxBins</strong> &#8211; Number of bins used for finding splits at each
node.</li>
<li><strong>minInstancesPerNode</strong> &#8211; Min number of instances required at
child nodes to create the parent split</li>
<li><strong>minInfoGain</strong> &#8211; Min info gain required to create a split</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">DecisionTreeModel</p>
</td>
</tr>
</tbody>
</table>
<p>Example usage:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.tree</span> <span class="kn">import</span> <span class="n">DecisionTree</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.linalg</span> <span class="kn">import</span> <span class="n">SparseVector</span>
<span class="go">&gt;&gt;&gt;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sparse_data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">0.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">0.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">2.0</span><span class="p">}))</span>
<span class="gp">... </span><span class="p">]</span>
<span class="go">&gt;&gt;&gt;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">DecisionTree</span><span class="o">.</span><span class="n">trainRegressor</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">sparse_data</span><span class="p">),</span> <span class="p">{})</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span>
<span class="go">1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">0.0</span><span class="p">}))</span>
<span class="go">0.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">],</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">]])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">rdd</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[1.0, 0.0]</span>
</pre></div>
</div>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.tree.RandomForestModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.tree.</tt><tt class="descname">RandomForestModel</tt><big>(</big><em>java_model</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/tree.html#RandomForestModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.RandomForestModel" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Represents a random forest model.</p>
<dl class="method">
<dt id="pyspark.mllib.tree.RandomForestModel.call">
<tt class="descname">call</tt><big>(</big><em>name</em>, <em>*a</em><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.RandomForestModel.call" title="Permalink to this definition"></a></dt>
<dd><p>Call method of java_model</p>
</dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.tree.RandomForestModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.RandomForestModel.load" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.tree.RandomForestModel.numTrees">
<tt class="descname">numTrees</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.RandomForestModel.numTrees" title="Permalink to this definition"></a></dt>
<dd><p>Get number of trees in ensemble.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.tree.RandomForestModel.predict">
<tt class="descname">predict</tt><big>(</big><em>x</em><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.RandomForestModel.predict" title="Permalink to this definition"></a></dt>
<dd><p>Predict values for a single data point or an RDD of points using
the model trained.</p>
<dl class="docutils">
<dt>Note: In Python, predict cannot currently be used within an RDD</dt>
<dd>transformation or action.
Call predict directly on the RDD instead.</dd>
</dl>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.tree.RandomForestModel.save">
<tt class="descname">save</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.RandomForestModel.save" title="Permalink to this definition"></a></dt>
<dd><p>Save this model to the given path.</p>
<dl class="docutils">
<dt>This saves:</dt>
<dd><ul class="first last simple">
<li>human-readable (JSON) model metadata to path/metadata/</li>
<li>Parquet formatted data to path/data/</li>
</ul>
</dd>
</dl>
<p>The model may be loaded using py:meth:<cite>Loader.load</cite>.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>sc</strong> &#8211; Spark context used to save model data.</li>
<li><strong>path</strong> &#8211; Path specifying the directory in which to save
this model. If the directory already exists,
this method throws an exception.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.tree.RandomForestModel.toDebugString">
<tt class="descname">toDebugString</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.RandomForestModel.toDebugString" title="Permalink to this definition"></a></dt>
<dd><p>Full model</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.tree.RandomForestModel.totalNumNodes">
<tt class="descname">totalNumNodes</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.RandomForestModel.totalNumNodes" title="Permalink to this definition"></a></dt>
<dd><p>Get total number of nodes, summed over all trees in the
ensemble.</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.tree.RandomForest">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.tree.</tt><tt class="descname">RandomForest</tt><a class="reference internal" href="_modules/pyspark/mllib/tree.html#RandomForest"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.RandomForest" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Learning algorithm for a random forest model for classification or
regression.</p>
<dl class="attribute">
<dt id="pyspark.mllib.tree.RandomForest.supportedFeatureSubsetStrategies">
<tt class="descname">supportedFeatureSubsetStrategies</tt><em class="property"> = ('auto', 'all', 'sqrt', 'log2', 'onethird')</em><a class="headerlink" href="#pyspark.mllib.tree.RandomForest.supportedFeatureSubsetStrategies" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.tree.RandomForest.trainClassifier">
<em class="property">classmethod </em><tt class="descname">trainClassifier</tt><big>(</big><em>data</em>, <em>numClasses</em>, <em>categoricalFeaturesInfo</em>, <em>numTrees</em>, <em>featureSubsetStrategy='auto'</em>, <em>impurity='gini'</em>, <em>maxDepth=4</em>, <em>maxBins=32</em>, <em>seed=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/tree.html#RandomForest.trainClassifier"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.RandomForest.trainClassifier" title="Permalink to this definition"></a></dt>
<dd><p>Method to train a decision tree model for binary or multiclass
classification.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>data</strong> &#8211; Training dataset: RDD of LabeledPoint. Labels
should take values {0, 1, ..., numClasses-1}.</li>
<li><strong>numClasses</strong> &#8211; number of classes for classification.</li>
<li><strong>categoricalFeaturesInfo</strong> &#8211; Map storing arity of categorical
features. E.g., an entry (n -&gt; k) indicates that
feature n is categorical with k categories indexed
from 0: {0, 1, ..., k-1}.</li>
<li><strong>numTrees</strong> &#8211; Number of trees in the random forest.</li>
<li><strong>featureSubsetStrategy</strong> &#8211; Number of features to consider for
splits at each node.
Supported: &#8220;auto&#8221; (default), &#8220;all&#8221;, &#8220;sqrt&#8221;, &#8220;log2&#8221;, &#8220;onethird&#8221;.
If &#8220;auto&#8221; is set, this parameter is set based on numTrees:
if numTrees == 1, set to &#8220;all&#8221;;
if numTrees &gt; 1 (forest) set to &#8220;sqrt&#8221;.</li>
<li><strong>impurity</strong> &#8211; Criterion used for information gain calculation.
Supported values: &#8220;gini&#8221; (recommended) or &#8220;entropy&#8221;.</li>
<li><strong>maxDepth</strong> &#8211; Maximum depth of the tree.
E.g., depth 0 means 1 leaf node; depth 1 means
1 internal node + 2 leaf nodes. (default: 4)</li>
<li><strong>maxBins</strong> &#8211; maximum number of bins used for splitting
features
(default: 32)</li>
<li><strong>seed</strong> &#8211; Random seed for bootstrapping and choosing feature
subsets.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">RandomForestModel that can be used for prediction</p>
</td>
</tr>
</tbody>
</table>
<p>Example usage:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.tree</span> <span class="kn">import</span> <span class="n">RandomForest</span>
<span class="go">&gt;&gt;&gt;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">2.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">3.0</span><span class="p">])</span>
<span class="gp">... </span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">RandomForest</span><span class="o">.</span><span class="n">trainClassifier</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="mi">2</span><span class="p">,</span> <span class="p">{},</span> <span class="mi">3</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">42</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">numTrees</span><span class="p">()</span>
<span class="go">3</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">totalNumNodes</span><span class="p">()</span>
<span class="go">7</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">model</span><span class="p">)</span>
<span class="go">TreeEnsembleModel classifier with 3 trees</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">toDebugString</span><span class="p">())</span>
<span class="go">TreeEnsembleModel classifier with 3 trees</span>
<span class="go"> Tree 0:</span>
<span class="go"> Predict: 1.0</span>
<span class="go"> Tree 1:</span>
<span class="go"> If (feature 0 &lt;= 1.0)</span>
<span class="go"> Predict: 0.0</span>
<span class="go"> Else (feature 0 &gt; 1.0)</span>
<span class="go"> Predict: 1.0</span>
<span class="go"> Tree 2:</span>
<span class="go"> If (feature 0 &lt;= 1.0)</span>
<span class="go"> Predict: 0.0</span>
<span class="go"> Else (feature 0 &gt; 1.0)</span>
<span class="go"> Predict: 1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">2.0</span><span class="p">])</span>
<span class="go">1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">0.0</span><span class="p">])</span>
<span class="go">0.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="mf">3.0</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">]])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">rdd</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[1.0, 0.0]</span>
</pre></div>
</div>
</dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.tree.RandomForest.trainRegressor">
<em class="property">classmethod </em><tt class="descname">trainRegressor</tt><big>(</big><em>data</em>, <em>categoricalFeaturesInfo</em>, <em>numTrees</em>, <em>featureSubsetStrategy='auto'</em>, <em>impurity='variance'</em>, <em>maxDepth=4</em>, <em>maxBins=32</em>, <em>seed=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/tree.html#RandomForest.trainRegressor"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.RandomForest.trainRegressor" title="Permalink to this definition"></a></dt>
<dd><p>Method to train a decision tree model for regression.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>data</strong> &#8211; Training dataset: RDD of LabeledPoint. Labels are
real numbers.</li>
<li><strong>categoricalFeaturesInfo</strong> &#8211; Map storing arity of categorical
features. E.g., an entry (n -&gt; k) indicates that feature
n is categorical with k categories indexed from 0:
{0, 1, ..., k-1}.</li>
<li><strong>numTrees</strong> &#8211; Number of trees in the random forest.</li>
<li><strong>featureSubsetStrategy</strong> &#8211; Number of features to consider for
splits at each node.
Supported: &#8220;auto&#8221; (default), &#8220;all&#8221;, &#8220;sqrt&#8221;, &#8220;log2&#8221;, &#8220;onethird&#8221;.
If &#8220;auto&#8221; is set, this parameter is set based on numTrees:
if numTrees == 1, set to &#8220;all&#8221;;
if numTrees &gt; 1 (forest) set to &#8220;onethird&#8221; for regression.</li>
<li><strong>impurity</strong> &#8211; Criterion used for information gain
calculation.
Supported values: &#8220;variance&#8221;.</li>
<li><strong>maxDepth</strong> &#8211; Maximum depth of the tree. E.g., depth 0 means
1 leaf node; depth 1 means 1 internal node + 2 leaf
nodes. (default: 4)</li>
<li><strong>maxBins</strong> &#8211; maximum number of bins used for splitting
features (default: 32)</li>
<li><strong>seed</strong> &#8211; Random seed for bootstrapping and choosing feature
subsets.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">RandomForestModel that can be used for prediction</p>
</td>
</tr>
</tbody>
</table>
<p>Example usage:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.tree</span> <span class="kn">import</span> <span class="n">RandomForest</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.linalg</span> <span class="kn">import</span> <span class="n">SparseVector</span>
<span class="go">&gt;&gt;&gt;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sparse_data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">2.0</span><span class="p">}))</span>
<span class="gp">... </span><span class="p">]</span>
<span class="go">&gt;&gt;&gt;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">RandomForest</span><span class="o">.</span><span class="n">trainRegressor</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">sparse_data</span><span class="p">),</span> <span class="p">{},</span> <span class="mi">2</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="mi">42</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">numTrees</span><span class="p">()</span>
<span class="go">2</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">totalNumNodes</span><span class="p">()</span>
<span class="go">4</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span>
<span class="go">1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span>
<span class="go">0.5</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">]])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">rdd</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[1.0, 0.5]</span>
</pre></div>
</div>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.tree.GradientBoostedTreesModel">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.tree.</tt><tt class="descname">GradientBoostedTreesModel</tt><big>(</big><em>java_model</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/tree.html#GradientBoostedTreesModel"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.GradientBoostedTreesModel" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Represents a gradient-boosted tree model.</p>
<dl class="method">
<dt id="pyspark.mllib.tree.GradientBoostedTreesModel.call">
<tt class="descname">call</tt><big>(</big><em>name</em>, <em>*a</em><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.GradientBoostedTreesModel.call" title="Permalink to this definition"></a></dt>
<dd><p>Call method of java_model</p>
</dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.tree.GradientBoostedTreesModel.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.GradientBoostedTreesModel.load" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pyspark.mllib.tree.GradientBoostedTreesModel.numTrees">
<tt class="descname">numTrees</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.GradientBoostedTreesModel.numTrees" title="Permalink to this definition"></a></dt>
<dd><p>Get number of trees in ensemble.</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.tree.GradientBoostedTreesModel.predict">
<tt class="descname">predict</tt><big>(</big><em>x</em><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.GradientBoostedTreesModel.predict" title="Permalink to this definition"></a></dt>
<dd><p>Predict values for a single data point or an RDD of points using
the model trained.</p>
<dl class="docutils">
<dt>Note: In Python, predict cannot currently be used within an RDD</dt>
<dd>transformation or action.
Call predict directly on the RDD instead.</dd>
</dl>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.tree.GradientBoostedTreesModel.save">
<tt class="descname">save</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.GradientBoostedTreesModel.save" title="Permalink to this definition"></a></dt>
<dd><p>Save this model to the given path.</p>
<dl class="docutils">
<dt>This saves:</dt>
<dd><ul class="first last simple">
<li>human-readable (JSON) model metadata to path/metadata/</li>
<li>Parquet formatted data to path/data/</li>
</ul>
</dd>
</dl>
<p>The model may be loaded using py:meth:<cite>Loader.load</cite>.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>sc</strong> &#8211; Spark context used to save model data.</li>
<li><strong>path</strong> &#8211; Path specifying the directory in which to save
this model. If the directory already exists,
this method throws an exception.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.tree.GradientBoostedTreesModel.toDebugString">
<tt class="descname">toDebugString</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.GradientBoostedTreesModel.toDebugString" title="Permalink to this definition"></a></dt>
<dd><p>Full model</p>
</dd></dl>
<dl class="method">
<dt id="pyspark.mllib.tree.GradientBoostedTreesModel.totalNumNodes">
<tt class="descname">totalNumNodes</tt><big>(</big><big>)</big><a class="headerlink" href="#pyspark.mllib.tree.GradientBoostedTreesModel.totalNumNodes" title="Permalink to this definition"></a></dt>
<dd><p>Get total number of nodes, summed over all trees in the
ensemble.</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.tree.GradientBoostedTrees">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.tree.</tt><tt class="descname">GradientBoostedTrees</tt><a class="reference internal" href="_modules/pyspark/mllib/tree.html#GradientBoostedTrees"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.GradientBoostedTrees" title="Permalink to this definition"></a></dt>
<dd><div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Experimental</p>
</div>
<p>Learning algorithm for a gradient boosted trees model for
classification or regression.</p>
<dl class="classmethod">
<dt id="pyspark.mllib.tree.GradientBoostedTrees.trainClassifier">
<em class="property">classmethod </em><tt class="descname">trainClassifier</tt><big>(</big><em>data</em>, <em>categoricalFeaturesInfo</em>, <em>loss='logLoss'</em>, <em>numIterations=100</em>, <em>learningRate=0.1</em>, <em>maxDepth=3</em>, <em>maxBins=32</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/tree.html#GradientBoostedTrees.trainClassifier"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.GradientBoostedTrees.trainClassifier" title="Permalink to this definition"></a></dt>
<dd><p>Method to train a gradient-boosted trees model for
classification.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>data</strong> &#8211; Training dataset: RDD of LabeledPoint.
Labels should take values {0, 1}.</li>
<li><strong>categoricalFeaturesInfo</strong> &#8211; Map storing arity of categorical
features. E.g., an entry (n -&gt; k) indicates that feature
n is categorical with k categories indexed from 0:
{0, 1, ..., k-1}.</li>
<li><strong>loss</strong> &#8211; Loss function used for minimization during gradient
boosting. Supported: {&#8220;logLoss&#8221; (default),
&#8220;leastSquaresError&#8221;, &#8220;leastAbsoluteError&#8221;}.</li>
<li><strong>numIterations</strong> &#8211; Number of iterations of boosting.
(default: 100)</li>
<li><strong>learningRate</strong> &#8211; Learning rate for shrinking the
contribution of each estimator. The learning rate
should be between in the interval (0, 1].
(default: 0.1)</li>
<li><strong>maxDepth</strong> &#8211; Maximum depth of the tree. E.g., depth 0 means
1 leaf node; depth 1 means 1 internal node + 2 leaf
nodes. (default: 3)</li>
<li><strong>maxBins</strong> &#8211; maximum number of bins used for splitting
features (default: 32) DecisionTree requires maxBins &gt;= max categories</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">GradientBoostedTreesModel that can be used for
prediction</p>
</td>
</tr>
</tbody>
</table>
<p>Example usage:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.tree</span> <span class="kn">import</span> <span class="n">GradientBoostedTrees</span>
<span class="go">&gt;&gt;&gt;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">2.0</span><span class="p">]),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">3.0</span><span class="p">])</span>
<span class="gp">... </span><span class="p">]</span>
<span class="go">&gt;&gt;&gt;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">GradientBoostedTrees</span><span class="o">.</span><span class="n">trainClassifier</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">data</span><span class="p">),</span> <span class="p">{},</span> <span class="n">numIterations</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">numTrees</span><span class="p">()</span>
<span class="go">10</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">totalNumNodes</span><span class="p">()</span>
<span class="go">30</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">model</span><span class="p">)</span> <span class="c"># it already has newline</span>
<span class="go">TreeEnsembleModel classifier with 10 trees</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">2.0</span><span class="p">])</span>
<span class="go">1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">0.0</span><span class="p">])</span>
<span class="go">0.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="mf">2.0</span><span class="p">],</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">]])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">rdd</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[1.0, 0.0]</span>
</pre></div>
</div>
</dd></dl>
<dl class="classmethod">
<dt id="pyspark.mllib.tree.GradientBoostedTrees.trainRegressor">
<em class="property">classmethod </em><tt class="descname">trainRegressor</tt><big>(</big><em>data</em>, <em>categoricalFeaturesInfo</em>, <em>loss='leastSquaresError'</em>, <em>numIterations=100</em>, <em>learningRate=0.1</em>, <em>maxDepth=3</em>, <em>maxBins=32</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/tree.html#GradientBoostedTrees.trainRegressor"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.tree.GradientBoostedTrees.trainRegressor" title="Permalink to this definition"></a></dt>
<dd><p>Method to train a gradient-boosted trees model for regression.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>data</strong> &#8211; Training dataset: RDD of LabeledPoint. Labels are
real numbers.</li>
<li><strong>categoricalFeaturesInfo</strong> &#8211; Map storing arity of categorical
features. E.g., an entry (n -&gt; k) indicates that feature
n is categorical with k categories indexed from 0:
{0, 1, ..., k-1}.</li>
<li><strong>loss</strong> &#8211; Loss function used for minimization during gradient
boosting. Supported: {&#8220;logLoss&#8221; (default),
&#8220;leastSquaresError&#8221;, &#8220;leastAbsoluteError&#8221;}.</li>
<li><strong>numIterations</strong> &#8211; Number of iterations of boosting.
(default: 100)</li>
<li><strong>learningRate</strong> &#8211; Learning rate for shrinking the
contribution of each estimator. The learning rate
should be between in the interval (0, 1].
(default: 0.1)</li>
<li><strong>maxBins</strong> &#8211; maximum number of bins used for splitting
features (default: 32) DecisionTree requires maxBins &gt;= max categories</li>
<li><strong>maxDepth</strong> &#8211; Maximum depth of the tree. E.g., depth 0 means
1 leaf node; depth 1 means 1 internal node + 2 leaf
nodes. (default: 3)</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">GradientBoostedTreesModel that can be used for
prediction</p>
</td>
</tr>
</tbody>
</table>
<p>Example usage:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.tree</span> <span class="kn">import</span> <span class="n">GradientBoostedTrees</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.linalg</span> <span class="kn">import</span> <span class="n">SparseVector</span>
<span class="go">&gt;&gt;&gt;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sparse_data</span> <span class="o">=</span> <span class="p">[</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">})),</span>
<span class="gp">... </span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">2.0</span><span class="p">}))</span>
<span class="gp">... </span><span class="p">]</span>
<span class="go">&gt;&gt;&gt;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">sparse_data</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span> <span class="o">=</span> <span class="n">GradientBoostedTrees</span><span class="o">.</span><span class="n">trainRegressor</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="p">{},</span> <span class="n">numIterations</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">numTrees</span><span class="p">()</span>
<span class="go">10</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">totalNumNodes</span><span class="p">()</span>
<span class="go">12</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">1</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span>
<span class="go">1.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">SparseVector</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">{</span><span class="mi">0</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">}))</span>
<span class="go">0.0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">rdd</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([[</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">]])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">rdd</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[1.0, 0.0]</span>
</pre></div>
</div>
</dd></dl>
</dd></dl>
</div>
<div class="section" id="module-pyspark.mllib.util">
<span id="pyspark-mllib-util-module"></span><h2>pyspark.mllib.util module<a class="headerlink" href="#module-pyspark.mllib.util" title="Permalink to this headline"></a></h2>
<dl class="class">
<dt id="pyspark.mllib.util.JavaLoader">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.util.</tt><tt class="descname">JavaLoader</tt><a class="reference internal" href="_modules/pyspark/mllib/util.html#JavaLoader"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.JavaLoader" title="Permalink to this definition"></a></dt>
<dd><p>Mixin for classes which can load saved models using its Scala
implementation.</p>
<dl class="classmethod">
<dt id="pyspark.mllib.util.JavaLoader.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/util.html#JavaLoader.load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.JavaLoader.load" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.util.JavaSaveable">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.util.</tt><tt class="descname">JavaSaveable</tt><a class="reference internal" href="_modules/pyspark/mllib/util.html#JavaSaveable"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.JavaSaveable" title="Permalink to this definition"></a></dt>
<dd><p>Mixin for models that provide save() through their Scala
implementation.</p>
<dl class="method">
<dt id="pyspark.mllib.util.JavaSaveable.save">
<tt class="descname">save</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/util.html#JavaSaveable.save"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.JavaSaveable.save" title="Permalink to this definition"></a></dt>
<dd><p>Save this model to the given path.</p>
<dl class="docutils">
<dt>This saves:</dt>
<dd><ul class="first last simple">
<li>human-readable (JSON) model metadata to path/metadata/</li>
<li>Parquet formatted data to path/data/</li>
</ul>
</dd>
</dl>
<p>The model may be loaded using py:meth:<cite>Loader.load</cite>.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>sc</strong> &#8211; Spark context used to save model data.</li>
<li><strong>path</strong> &#8211; Path specifying the directory in which to save
this model. If the directory already exists,
this method throws an exception.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.util.LinearDataGenerator">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.util.</tt><tt class="descname">LinearDataGenerator</tt><a class="reference internal" href="_modules/pyspark/mllib/util.html#LinearDataGenerator"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.LinearDataGenerator" title="Permalink to this definition"></a></dt>
<dd><p>Utils for generating linear data</p>
<dl class="staticmethod">
<dt id="pyspark.mllib.util.LinearDataGenerator.generateLinearInput">
<em class="property">static </em><tt class="descname">generateLinearInput</tt><big>(</big><em>intercept</em>, <em>weights</em>, <em>xMean</em>, <em>xVariance</em>, <em>nPoints</em>, <em>seed</em>, <em>eps</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/util.html#LinearDataGenerator.generateLinearInput"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.LinearDataGenerator.generateLinearInput" title="Permalink to this definition"></a></dt>
<dd><table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Param:</th><td class="field-body">intercept bias factor, the term c in X&#8217;w + c</td>
</tr>
<tr class="field-even field"><th class="field-name">Param:</th><td class="field-body">weights feature vector, the term w in X&#8217;w + c</td>
</tr>
<tr class="field-odd field"><th class="field-name">Param:</th><td class="field-body">xMean Point around which the data X is centered.</td>
</tr>
<tr class="field-even field"><th class="field-name">Param:</th><td class="field-body">xVariance Variance of the given data</td>
</tr>
<tr class="field-odd field"><th class="field-name">Param:</th><td class="field-body">nPoints Number of points to be generated</td>
</tr>
<tr class="field-even field"><th class="field-name">Param:</th><td class="field-body">seed Random Seed</td>
</tr>
<tr class="field-odd field"><th class="field-name">Param:</th><td class="field-body">eps Used to scale the noise. If eps is set high,
the amount of gaussian noise added is more.</td>
</tr>
</tbody>
</table>
<p>Returns a list of LabeledPoints of length nPoints</p>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.util.LinearDataGenerator.generateLinearRDD">
<em class="property">static </em><tt class="descname">generateLinearRDD</tt><big>(</big><em>sc</em>, <em>nexamples</em>, <em>nfeatures</em>, <em>eps</em>, <em>nParts=2</em>, <em>intercept=0.0</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/util.html#LinearDataGenerator.generateLinearRDD"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.LinearDataGenerator.generateLinearRDD" title="Permalink to this definition"></a></dt>
<dd><p>Generate a RDD of LabeledPoints.</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.util.Loader">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.util.</tt><tt class="descname">Loader</tt><a class="reference internal" href="_modules/pyspark/mllib/util.html#Loader"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.Loader" title="Permalink to this definition"></a></dt>
<dd><p>Mixin for classes which can load saved models from files.</p>
<dl class="classmethod">
<dt id="pyspark.mllib.util.Loader.load">
<em class="property">classmethod </em><tt class="descname">load</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/util.html#Loader.load"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.Loader.load" title="Permalink to this definition"></a></dt>
<dd><p>Load a model from the given path. The model should have been
saved using py:meth:<cite>Saveable.save</cite>.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>sc</strong> &#8211; Spark context used for loading model files.</li>
<li><strong>path</strong> &#8211; Path specifying the directory to which the model
was saved.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">model instance</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.util.MLUtils">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.util.</tt><tt class="descname">MLUtils</tt><a class="reference internal" href="_modules/pyspark/mllib/util.html#MLUtils"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.MLUtils" title="Permalink to this definition"></a></dt>
<dd><p>Helper methods to load, save and pre-process data used in MLlib.</p>
<dl class="staticmethod">
<dt id="pyspark.mllib.util.MLUtils.appendBias">
<em class="property">static </em><tt class="descname">appendBias</tt><big>(</big><em>data</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/util.html#MLUtils.appendBias"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.MLUtils.appendBias" title="Permalink to this definition"></a></dt>
<dd><p>Returns a new vector with <cite>1.0</cite> (bias) appended to
the end of the input vector.</p>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.util.MLUtils.loadLabeledPoints">
<em class="property">static </em><tt class="descname">loadLabeledPoints</tt><big>(</big><em>sc</em>, <em>path</em>, <em>minPartitions=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/util.html#MLUtils.loadLabeledPoints"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.MLUtils.loadLabeledPoints" title="Permalink to this definition"></a></dt>
<dd><p>Load labeled points saved using RDD.saveAsTextFile.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>sc</strong> &#8211; Spark context</li>
<li><strong>path</strong> &#8211; file or directory path in any Hadoop-supported file
system URI</li>
<li><strong>minPartitions</strong> &#8211; min number of partitions</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">labeled data stored as an RDD of LabeledPoint</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">tempfile</span> <span class="kn">import</span> <span class="n">NamedTemporaryFile</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.util</span> <span class="kn">import</span> <span class="n">MLUtils</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">examples</span> <span class="o">=</span> <span class="p">[</span><span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.1</span><span class="p">,</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">sparse</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="p">[(</span><span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.23</span><span class="p">),</span> <span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mf">4.56e-7</span><span class="p">)])),</span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">1.01</span><span class="p">,</span> <span class="mf">2.02</span><span class="p">,</span> <span class="mf">3.03</span><span class="p">]))]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">tempFile</span> <span class="o">=</span> <span class="n">NamedTemporaryFile</span><span class="p">(</span><span class="n">delete</span><span class="o">=</span><span class="bp">True</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">tempFile</span><span class="o">.</span><span class="n">close</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">examples</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span><span class="o">.</span><span class="n">saveAsTextFile</span><span class="p">(</span><span class="n">tempFile</span><span class="o">.</span><span class="n">name</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">MLUtils</span><span class="o">.</span><span class="n">loadLabeledPoints</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">tempFile</span><span class="o">.</span><span class="n">name</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="go">[LabeledPoint(1.1, (3,[0,2],[-1.23,4.56e-07])), LabeledPoint(0.0, [1.01,2.02,3.03])]</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.util.MLUtils.loadLibSVMFile">
<em class="property">static </em><tt class="descname">loadLibSVMFile</tt><big>(</big><em>sc</em>, <em>path</em>, <em>numFeatures=-1</em>, <em>minPartitions=None</em>, <em>multiclass=None</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/util.html#MLUtils.loadLibSVMFile"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.MLUtils.loadLibSVMFile" title="Permalink to this definition"></a></dt>
<dd><p>Loads labeled data in the LIBSVM format into an RDD of
LabeledPoint. The LIBSVM format is a text-based format used by
LIBSVM and LIBLINEAR. Each line represents a labeled sparse
feature vector using the following format:</p>
<p>label index1:value1 index2:value2 ...</p>
<p>where the indices are one-based and in ascending order. This
method parses each line into a LabeledPoint, where the feature
indices are converted to zero-based.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>sc</strong> &#8211; Spark context</li>
<li><strong>path</strong> &#8211; file or directory path in any Hadoop-supported file
system URI</li>
<li><strong>numFeatures</strong> &#8211; number of features, which will be determined
from the input data if a nonpositive value
is given. This is useful when the dataset is
already split into multiple files and you
want to load them separately, because some
features may not present in certain files,
which leads to inconsistent feature
dimensions.</li>
<li><strong>minPartitions</strong> &#8211; min number of partitions</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">labeled data stored as an RDD of LabeledPoint</p>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">tempfile</span> <span class="kn">import</span> <span class="n">NamedTemporaryFile</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.util</span> <span class="kn">import</span> <span class="n">MLUtils</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">tempFile</span> <span class="o">=</span> <span class="n">NamedTemporaryFile</span><span class="p">(</span><span class="n">delete</span><span class="o">=</span><span class="bp">True</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">_</span> <span class="o">=</span> <span class="n">tempFile</span><span class="o">.</span><span class="n">write</span><span class="p">(</span><span class="n">b</span><span class="s">&quot;+1 1:1.0 3:2.0 5:3.0</span><span class="se">\n</span><span class="s">-1</span><span class="se">\n</span><span class="s">-1 2:4.0 4:5.0 6:6.0&quot;</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">tempFile</span><span class="o">.</span><span class="n">flush</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">examples</span> <span class="o">=</span> <span class="n">MLUtils</span><span class="o">.</span><span class="n">loadLibSVMFile</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">tempFile</span><span class="o">.</span><span class="n">name</span><span class="p">)</span><span class="o">.</span><span class="n">collect</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">tempFile</span><span class="o">.</span><span class="n">close</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">examples</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="go">LabeledPoint(1.0, (6,[0,2,4],[1.0,2.0,3.0]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">examples</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="go">LabeledPoint(-1.0, (6,[],[]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">examples</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span>
<span class="go">LabeledPoint(-1.0, (6,[1,3,5],[4.0,5.0,6.0]))</span>
</pre></div>
</div>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.util.MLUtils.loadVectors">
<em class="property">static </em><tt class="descname">loadVectors</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/util.html#MLUtils.loadVectors"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.MLUtils.loadVectors" title="Permalink to this definition"></a></dt>
<dd><p>Loads vectors saved using <cite>RDD[Vector].saveAsTextFile</cite>
with the default number of partitions.</p>
</dd></dl>
<dl class="staticmethod">
<dt id="pyspark.mllib.util.MLUtils.saveAsLibSVMFile">
<em class="property">static </em><tt class="descname">saveAsLibSVMFile</tt><big>(</big><em>data</em>, <em>dir</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/util.html#MLUtils.saveAsLibSVMFile"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.MLUtils.saveAsLibSVMFile" title="Permalink to this definition"></a></dt>
<dd><p>Save labeled data in LIBSVM format.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>data</strong> &#8211; an RDD of LabeledPoint to be saved</li>
<li><strong>dir</strong> &#8211; directory to save the data</li>
</ul>
</td>
</tr>
</tbody>
</table>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">tempfile</span> <span class="kn">import</span> <span class="n">NamedTemporaryFile</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">fileinput</span> <span class="kn">import</span> <span class="nb">input</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">glob</span> <span class="kn">import</span> <span class="n">glob</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pyspark.mllib.util</span> <span class="kn">import</span> <span class="n">MLUtils</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">examples</span> <span class="o">=</span> <span class="p">[</span><span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.1</span><span class="p">,</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">sparse</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="p">[(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.23</span><span class="p">),</span> <span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mf">4.56</span><span class="p">)])),</span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">1.01</span><span class="p">,</span> <span class="mf">2.02</span><span class="p">,</span> <span class="mf">3.03</span><span class="p">]))]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">tempFile</span> <span class="o">=</span> <span class="n">NamedTemporaryFile</span><span class="p">(</span><span class="n">delete</span><span class="o">=</span><span class="bp">True</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">tempFile</span><span class="o">.</span><span class="n">close</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">MLUtils</span><span class="o">.</span><span class="n">saveAsLibSVMFile</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">(</span><span class="n">examples</span><span class="p">),</span> <span class="n">tempFile</span><span class="o">.</span><span class="n">name</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="s">&#39;&#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="nb">sorted</span><span class="p">(</span><span class="nb">input</span><span class="p">(</span><span class="n">glob</span><span class="p">(</span><span class="n">tempFile</span><span class="o">.</span><span class="n">name</span> <span class="o">+</span> <span class="s">&quot;/part-0000*&quot;</span><span class="p">))))</span>
<span class="go">&#39;0.0 1:1.01 2:2.02 3:3.03\n1.1 1:1.23 3:4.56\n&#39;</span>
</pre></div>
</div>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pyspark.mllib.util.Saveable">
<em class="property">class </em><tt class="descclassname">pyspark.mllib.util.</tt><tt class="descname">Saveable</tt><a class="reference internal" href="_modules/pyspark/mllib/util.html#Saveable"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.Saveable" title="Permalink to this definition"></a></dt>
<dd><p>Mixin for models and transformers which may be saved as files.</p>
<dl class="method">
<dt id="pyspark.mllib.util.Saveable.save">
<tt class="descname">save</tt><big>(</big><em>sc</em>, <em>path</em><big>)</big><a class="reference internal" href="_modules/pyspark/mllib/util.html#Saveable.save"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.mllib.util.Saveable.save" title="Permalink to this definition"></a></dt>
<dd><p>Save this model to the given path.</p>
<dl class="docutils">
<dt>This saves:</dt>
<dd><ul class="first last simple">
<li>human-readable (JSON) model metadata to path/metadata/</li>
<li>Parquet formatted data to path/data/</li>
</ul>
</dd>
</dl>
<p>The model may be loaded using py:meth:<cite>Loader.load</cite>.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>sc</strong> &#8211; Spark context used to save model data.</li>
<li><strong>path</strong> &#8211; Path specifying the directory in which to save
this model. If the directory already exists,
this method throws an exception.</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
</div>
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<h3><a href="index.html">Table Of Contents</a></h3>
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